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:
 * $2$, $3$, $6$, $7$, $8$, $11$, $12$, $15$, $18$, $19$, $22$, $23$, $24$, $27$, $28$, $31$, $32$, $33$, $43$, $44$, $47$, $48$, $60$, $67$, $72$, $76$, $92$, $\ldots$