72612864 has 66 divisors (see below), whose sum is σ = 209694680. Its totient is φ = 24201216.

The previous prime is 72612847. The next prime is 72612871. The reversal of 72612864 is 46821627.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5277 + ... + 13155.

Almost surely, 2^72612864 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 72612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104847340).

72612864 is an abundant number, since it is smaller than the sum of its proper divisors (137081816).

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

72612864 is a wasteful number, since it uses less digits than its factorization.

72612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7884 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72612864 is about 8521.3182078831. The cubic root of 72612864 is about 417.1938094657.

The spelling of 72612864 in words is "seventy-two million, six hundred twelve thousand, eight hundred sixty-four".