If a single book is responsible for the seventy-two angels as they are known today, it is La Science Cabalistique by Lazare Lenain, published in 1823.
Lenain set out the seventy-two names with their qualities, the periods of the year and the degrees of the zodiac they were said to govern, the verses attached to them, and the talismanic characters. The book was reprinted, translated and mined continuously through the nineteenth and twentieth centuries. The French occult revival took it up; later French writers on the seventy-two work substantially within its framework; and English-language treatments almost invariably descend from it at one or two removes.
The importance of establishing this is not to discredit the material. It is that the attributes now printed everywhere, truth and justice for the fourteenth, healing for the sixth, memory and learning for the nineteenth, are usually presented as traditional without qualification, and traditional in this case means 1823 rather than 1105 or 1517.
The distinction matters for anyone trying to work out what is old here. The counting procedure is medieval. The angelic reading is Renaissance. The zodiacal division is early modern. The offices, the psalm verses in their standard pairing, and the practice of finding one's own angel by birth date are nineteenth-century and later.
Lenain was working within a real tradition and drawing on earlier material; the point is not that he invented the system. It is that the specific form in which almost everyone now meets it, a table of seventy-two names, each with a virtue and a verse, has a printed source, a date and an author, and those are worth knowing before treating any entry in it as ancient.