72564366 has 32 divisors (see below), whose sum is σ = 171214848. Its totient is φ = 20063520.

The previous prime is 72564337. The next prime is 72564389. The reversal of 72564366 is 66346527.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26565 + ... + 29168.

It is an arithmetic number, because the mean of its divisors is an integer number (5350464).

Almost surely, 2^72564366 is an apocalyptic number.

72564366 is an abundant number, since it is smaller than the sum of its proper divisors (98650482).

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

72564366 is a wasteful number, since it uses less digits than its factorization.

72564366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55776.

The product of its digits is 181440, while the sum is 39.

The square root of 72564366 is about 8518.4720460890. The cubic root of 72564366 is about 417.1009077837.

The spelling of 72564366 in words is "seventy-two million, five hundred sixty-four thousand, three hundred sixty-six".