672

Number
$672$ (six hundred and seventy-two) is:


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


 * The $7$th Ore number after $1, 6, 28, 140, 270, 496$:
 * $\dfrac {672 \times \tau \left({672}\right)} {\sigma \left({672}\right)} = 8$
 * and the $5$th after $1, 6, 14, 270$ whose divisors also have an arithmetic mean which is an integer:
 * $\dfrac {\sigma \left({672}\right)} {\tau \left({672}\right)} = 84$


 * The $2$nd triperfect number:
 * $\sigma \left({672}\right) = 2016 = 3 \times 672$