72565436 has 24 divisors (see below), whose sum is σ = 131606160. Its totient is φ = 34981632.

The previous prime is 72565433. The next prime is 72565459. The reversal of 72565436 is 63456527.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72565436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72565433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14555 + ... + 18893.

It is an arithmetic number, because the mean of its divisors is an integer number (5483590).

Almost surely, 2^72565436 is an apocalyptic number.

It is an amenable number.

72565436 is a deficient number, since it is larger than the sum of its proper divisors (59040724).

72565436 is a wasteful number, since it uses less digits than its factorization.

72565436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4491 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 72565436 is about 8518.5348505480. The cubic root of 72565436 is about 417.1029578982.

The spelling of 72565436 in words is "seventy-two million, five hundred sixty-five thousand, four hundred thirty-six".