The literature on the seventy-two angels is large, repetitive and largely undated. A few habits make it navigable.
Establish the layer. Six are distinguishable, and every claim belongs to one. The derivation from Exodus 14, attested by Rashi before 1105 and developed in the Bahir and the Zohar. The reading of the results as angels, by Reuchlin in 1517 and the Christian Kabbalists. The absorption into a total system of correspondence, by Agrippa in 1533 and his successors. The pairing against the Goetia, by Rudd in the seventeenth century. The tabulation with offices, degrees and verses, by Lenain in 1823 and nineteenth-century French occultism. And the modern popular angelology of the last several decades.
Ask for the Hebrew. Sources that print the three-letter roots can be checked. Sources that print only English names cannot, and most claims about resemblances between names dissolve when the consonants are compared.
Use the number, not the name. Position in the sequence is stable; spelling is not.
Separate contested from unsourced. The date of the Bahir is contested. The relation of this material to earlier Jewish angelology is contested. The claim that a particular angel governs a particular virtue is not contested, it is unsupported before the nineteenth century, which calls for a different response.
Do not read completeness as evidence. The system divides perfectly into fives, eights, nines, twelves and thirty-sixes because seventy-two is a highly composite number. That is a fact about arithmetic and not a confirmation of anything.