472

Number
$472$ (four hundred and seventy-two) is:


 * $2^3 \times 59$


 * The $5$th positive integer $n$ after $157, 262, 367, 412$ for which $\map \phi {2 n + 1} < \map \phi {2 n}$:
 * $\map \phi {2 \times 472 + 1} = 432$, $\map \phi {2 \times 472} = 464$


 * The $25$th number whose divisor sum is square:


 * The $36$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $\ldots$, $324$, $326$, $336$, $342$, $372$, $406$, $408$, $426$, $430$, $448$