372

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Number

$372$ (three hundred and seventy-two) is:

$2^2 \times 3 \times 31$


The $8$th hexagonal pyramidal number after $1$, $7$, $22$, $50$, $95$, $161$, $252$:
$\ds 372 = \sum_{k \mathop = 1}^8 k \paren {2 k - 1} = \dfrac {8 \paren {8 + 1} \paren {4 \times 8 - 1} } 6$


The $17$th inconsummate number after $62$, $63$, $65$, $75$, $84$, $95$, $161$, $173$, $195$, $216$, $261$, $266$, $272$, $276$, $326$, $371$:
$\nexists n \in \Z_{>0}: n = 372 \times \map {s_{10} } n$


The $30$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $\ldots$, $262$, $268$, $276$, $288$, $290$, $292$, $304$, $306$, $322$, $324$, $326$, $336$, $342$


The $38$th noncototient after $10$, $26$, $34$, $50$, $\ldots$, $290$, $292$, $298$, $310$, $326$, $340$, $344$, $346$, $362$, $366$:
$\nexists m \in \Z_{>0}: m - \map \phi m = 372$
where $\map \phi m$ denotes the Euler $\phi$ function


The product with its reversal equals the product of another $3$-digit number with its reversal:
$372 \times 273 = 651 \times 156$


Also see