72666368 has 36 divisors (see below), whose sum is σ = 145628868. Its totient is φ = 36188160.

The previous prime is 72666359. The next prime is 72666383. The reversal of 72666368 is 86366627.

It can be written as a sum of positive squares in 2 ways, for example, as 13191424 + 59474944 = 3632^2 + 7712^2 .

It is a super-2 number, since 2×72666368² = 10560802076622848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95108 + ... + 95868.

Almost surely, 2^72666368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72814434).

72666368 is an abundant number, since it is smaller than the sum of its proper divisors (72962500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72666368 is an equidigital number, since it uses as much as digits as its factorization.

72666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 72666368 is about 8524.4570501587. The cubic root of 72666368 is about 417.2962525505.

The spelling of 72666368 in words is "seventy-two million, six hundred sixty-six thousand, three hundred sixty-eight".