According to the Golden Dawn:
"72 names are written on the leaves of the Tree of Life which were for the healing of the nations.
"These are also the 72 names of the ladder of Jacob on which the Angels of God ascended and descended. It will presently be shown how the 72 Angelic names are formed from the 72 Names of the Deity, and also how their signification is to be found. The 72 Names of the Deity are thus obtained. The 19th, 20th, and 21st verses of the XIV Chapter of the Book of Exodus each consist of 72 letters.
The English translation is: 19th verse: “And the Angel of the Elohim, that went before the camp of Israel, removed and went behind them; and the pillar of cloud removed from before them and stood behind them.”
20th verse: “And it came between the camp of the Egyptians and the camp of Israel; and it was a cloud and darkness (to the first) but it gave light by night (to these); and the one came not near unto the other all the night.”
21st verse: “And Moses stretched out his hand over the sea, and the Lord drove back the sea with a strong east wind all that night and made the sea dry land, and the waters divided.”
These three verses are now to be written at length one above the other, the first from right to left, and the second from left to right, and the third from right to left; and as they contain 72 letters, there will be 72 columns of three letters each. Then each column will give a word of three letters, and there will be 72 names of three letters each, which are the Shem ha Mephoresch or 72 Names of the Deity, expounding the Powers of the name YHVH.
From these names 72 Names of Angels are formed by the addition of, in some cases, the suffice YH which signifies Mercy and Beneficence, or in others of the suffice AL which signifies Severity and Judgment. Or as it is said: “And the Name is in Him, etc.”
THE 72 NAMES AND THEIR MEANINGS
1. VAHAVIAH is God the Exalter.
2. YELAYEL is Strength.
3. SAITEL is Refuge, Fortress and Confidence.
4. OLMIAH is Concealed, Strong.
5. MAHASHIAH is Seeking safety from Trouble.
6. LELAHEL is Praiseworthy, declaring His works.
7. AKAIAH is long suffering.
8. KEHETHEl , is Adorable.
9. HAZAYEL is Merciful .
10. ALDIAH is Profitable.
11. LAVIAH is to be exalted.
12. HIHAAYAH is Refuge.
13. YEZAHEL is Rejoicing over all things.
14. MEBAHEL is Guardian, Preserver.
15. HARAYEL is Aid.
16. HOQMIAH is Raise up, Praying day and night.
17. LAVIAH is Wonderful .
18. KELIAL is Worthy to be invoked.
19. LIVOYAH is Hastening to hear.
20. PHEHILYAH is Redeemer, Liberator.
21. NELOKHIEL is Thou alone.
22. Y EY AY I EL is Thy right hand.
23. MELOHEL is Turning away evil.
24. CHAHAVIAH is Goodness in Himself.
25. NITHAHIAH is Wide in extent , the enlarger, wonderful.
26. HAAYOH is Heaven in secret .
27. YIRTHIEL is Deliverer.
28. SAHYOH is Taker away of evi ls.
29. REYAYEL is Expectation.
30. EVAMEL is Patient.
31. LEKABEL is Teacher, instructor.
32. VESHIRIAH is Upright.
33. YECHAVAH is Knower of all things.
34. LEHACHIAH is clement, merciful.
35. KEVEQIAH is To be rejoiced in.
36. MENDIAL is Honourable.
37. ANIEL is Lord of Virtues.
38. CHAAMIAH is The hope of all the ends of the earth.
39. REHAAIEI, is Swift to condone.
40. YEYEZIEL is Making joyful.
41. HEHIHEL is Triune.
42. MICHAEL is Who is like unto Him.
43. VAVALIAH is King and Ruler.
44. YELAHIAH is Abiding for ever.
45. SAI. IAH is Mover of all things.
46. AARIEL is Revealer.
47. AASLAYOH is Just Judge.
48. M I H AL is Sending forth as a Father.
49. VEHOOEL is Great and lofty.
50. DENEYEL is Merciful Judge.
51. HECHASHYAH is Secret and Impenetrable.
52. AAMAMIAH is Covered in darkness.
53. NANAEL is Caster down of the proud.
54. NITHAEL is Celestial King.
55. MIBAHAIAH is Eternal .
56. POOYAEL is Supporting all things.
57. NEMAMIAH is lovable.
58. YEYEELEL is Hearer of cries.
59. HEROCHIEL is Permeating all things.
60. MITZRAEL is Raising up the oppressed.
61. VEMIBAEL is The Name which is over all.
62. YAHOHEL is The Supreme ends, or essence.
63. AANEVAL is Rejoicing.
64. MACHAYEL is Vivifying.
65. DAMABAYAH is Fountain of wisdom.
66. MENQEL is Nourishing all.
67. AAYOEL is Delights of the sons of men.
68. CHABOOYAH is Most liberal giver.
69. RAHAEL is Beholding al l.
70. YABOMAYAH is Producing by His word.
71. HAHAYEL is Lord of the Universe.
72. MEVAMAYAH is End of the Universe.
source: The complete Golden Dawn system of magic by Israel Regardie.
The three verses in Hebrew (Tanach morphology):
Exodus 14:19 ו:יסע מלאך ה:אלהים ה:הלך ל:פני מחנה ישראל ו:ילך מ:אחרי:הם ו:יסע עמוד ה:ענן מ:פני:הם ו:יעמד מ:אחרי:הם:
Exodus 14:20 ו:יבא בין מחנה מצרים ו:בין מחנה ישראל ו:יהי ה:ענן ו:ה:חשך ו:יאר את-ה:לילה ו:לא-קרב זה אל-זה כל-ה:לילה:
Exodus 14:21 ו:יט משה את-יד:ו על-ה:ים ו:יולך יהוה את-ה:ים ב:רוח קדים עזה כל-ה:לילה ו:ישם את-ה:ים ל:חרבה ו:יבקעו ה:מים: