72565552 has 40 divisors (see below), whose sum is σ = 147428064. Its totient is φ = 34535424.

The previous prime is 72565543. The next prime is 72565657. The reversal of 72565552 is 25556527.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107488 + ... + 108160.

Almost surely, 2^72565552 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 72565552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73714032).

72565552 is an abundant number, since it is smaller than the sum of its proper divisors (74862512).

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

72565552 is a wasteful number, since it uses less digits than its factorization.

72565552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its digits is 105000, while the sum is 37.

The square root of 72565552 is about 8518.5416592278. The cubic root of 72565552 is about 417.1031801524.

The spelling of 72565552 in words is "seventy-two million, five hundred sixty-five thousand, five hundred fifty-two".