72568656 has 80 divisors (see below), whose sum is σ = 209718720. Its totient is φ = 24024960.

The previous prime is 72568621. The next prime is 72568663. The reversal of 72568656 is 65686527.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 6.

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, 74251 + ... + 75221.

It is an arithmetic number, because the mean of its divisors is an integer number (2621484).

Almost surely, 2^72568656 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 72568656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104859360).

72568656 is an abundant number, since it is smaller than the sum of its proper divisors (137150064).

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

72568656 is a wasteful number, since it uses less digits than its factorization.

72568656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 72568656 is about 8518.7238480890. The cubic root of 72568656 is about 417.1091272801.

The spelling of 72568656 in words is "seventy-two million, five hundred sixty-eight thousand, six hundred fifty-six".