1575

Number
$1575$ (one thousand five hundred and seventy-five) is:


 * $3^2 \times 5^2 \times 7$


 * The $50$th Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $\ldots$, $1176$, $1184$, $1197$, $1212$, $1296$, $1311$, $1332$, $1344$, $1416$:
 * $1575 = 9 \times 175 = 59 \times \left({1 \times 5 \times 7 \times 5}\right)$


 * The $2$nd odd abundant number:
 * $1 + 3 + 5 + 7 + 9 + 15 + 21 + 25 + 35 + 45 + 63 + 75 + 105 + 175 + 225 + 315 + 525 = 1649 > 1575$

Also see

 * Tau Function of 1575