92

Number
$92$ (ninety-two) is:


 * $2^2 \times 23$


 * The $6$th tri-automorphic number after $2$, $5$, $7$, $67$, $75$:
 * $92^2 \times 3 = 25 \, 5 \mathbf {92}$


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


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


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