72564560 has 40 divisors (see below), whose sum is σ = 169858176. Its totient is φ = 28828800.

The previous prime is 72564523. The next prime is 72564577. The reversal of 72564560 is 6546527.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 72564560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9077 + ... + 15083.

Almost surely, 2^72564560 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 72564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84929088).

72564560 is an abundant number, since it is smaller than the sum of its proper divisors (97293616).

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

72564560 is a wasteful number, since it uses less digits than its factorization.

72564560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 72564560 is about 8518.4834331000. The cubic root of 72564560 is about 417.1012794882.

The spelling of 72564560 in words is "seventy-two million, five hundred sixty-four thousand, five hundred sixty".