72568320 has 160 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 17571840.

The previous prime is 72568259. The next prime is 72568333. The reversal of 72568320 is 2386527.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×72568320² = 10532322135244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 84051 + ... + 84909.

It is an arithmetic number, because the mean of its divisors is an integer number (1583604).

Almost surely, 2^72568320 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 72568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688320).

72568320 is an abundant number, since it is smaller than the sum of its proper divisors (180808320).

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

72568320 is a wasteful number, since it uses less digits than its factorization.

72568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72568320 is about 8518.7041268024. The cubic root of 72568320 is about 417.1084835271.

It can be divided in two parts, 7256 and 8320, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 72568320 in words is "seventy-two million, five hundred sixty-eight thousand, three hundred twenty".