8672
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Number
$8672$ (eight thousand, six hundred and seventy-two) is:
- $2^5 \times 271$
- The $7$th and last integer $m$ after $0$, $1$, $2$, $8$, $24$, $260$ such that $m^2 = \dbinom n 0 + \dbinom n 1 + \dbinom n 2 + \dbinom n 3$ for integer $n$:
- $8672^2 = \dbinom {767} 0 + \dbinom {767} 1 + \dbinom {767} 2 + \dbinom {767} 3$