F**k me - I've got shit for brains.....
92 is a pentagonal number.
There are 92 Johnson solids. The snub dodecahedron has 92 faces, the most an Archimedean solid can have.
For n = 8, there are 92 solutions in the n-Queens Problem.
Since it is possible to find sequences of 92 consecutive integers such that each inner member shares a factor with either the first or the last member, 92 is an Erd?'s-Woods number.
There are 92 "atomic elements" in the Look-and-say sequence, corresponding to the 92 non-transuranic elements in the chemist's periodic table.