175

Number
$175$ (one hundred and seventy-five) is:
 * $5^2 \times 7$


 * The magic constant of a magic square of order $7$, after $1$, $(5)$, $15$, $34$, $65$, $111$:
 * $175 = \ds \dfrac 1 7 \sum_{k \mathop = 1}^{7^2} k = \dfrac {7 \paren {7^2 + 1} } 2$


 * The $13$th number after $0$, $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $89$, $135$ which is the sum of the increasing powers of its digits taken in order:
 * $1^1 + 7^2 + 5^3 = 175$


 * The $22$nd Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $15$, $24$, $36$, $111$, $112$, $115$, $128$, $132$, $135$, $144$:
 * $175 = 5 \times 35 = 5 \times \paren {1 \times 7 \times 5}$