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According to European magical tradition, King Solomon is said to have evoked seventy-two demons, confined them in a bronze vessel sealed by magic symbols, and obliged them to work for him. These demons are catalogued in various magical grimoires, most notably in the Lemegeton, which gives descriptions of their powers, appearance and manner, as well as instructions for controlling them.

Based on the opinions of some who seek to find consistency of this association with the Shemhamphorasch, these demons may be sigils based on the reversing of the three lettered names of the angels. Using the reverse names and sigils, one would be able to call on the various demons for various favors which may result in destructive events.

It is from this that it is believed Anton LaVey, founder of the Church of Satan, obtained the word.

Kabbalists and hermeticists have proposed correspondences between the 72 names of the Shemhamphorasch and a wide variety of other things, such as the Psalms, tarot cards, and so on. It is because of the flexibility (and numerical factorability) of the Shemhamphorasch that many consider it to be the key of creation of all things and all arts. The names have long been associated with 72 angels, as well as 72 demons (found in the Lemegeton or Lesser Key of Solomon), who it is said can create or destroy the organization or disorganization of the elements into the creation of material reality. By understanding how to use the Shemhamphorasch, it is said one can command these powers.