92

Number
$92$ (ninety-two) is:


 * $2^2 \times 23$


 * The $8$th pentagonal number after $1, 5, 12, 22, 35, 51, 70$:
 * $92 = 1 + 4 + 7 + 10 + 13 + 16 + 19 + 22 = \dfrac {8 \left({3 \times 8 - 1}\right)} 2$


 * The $15$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $22$, $26$, $35$, $40$, $51$, $57$, $70$, $77$:
 * $92 = \dfrac {8 \left({3 \times 8 - 1}\right)} 2$


 * The $18$th positive integer $n$ after $5, 11, 17, 23, 29, 30, 36, 42, 48, 54, 60, 61, 67, 73, 79, 85, 91$ such that no factorial of an integer can end with $n$ zeroes.


 * The $27$th positive integer which is not the sum of $1$ or more distinct squares:
 * $2, 3, 6, 7, 8, 11, 12, 15, 18, 19, 22, 23, 24, 27, 28, 31, 32, 33, 43, 44, 47, 48, 60, 67, 72, 76, 92, \ldots$