72612560 has 20 divisors (see below), whose sum is σ = 168824388. Its totient is φ = 29044992.

The previous prime is 72612521. The next prime is 72612563. The reversal of 72612560 is 6521627.

It can be written as a sum of positive squares in 2 ways, for example, as 52649536 + 19963024 = 7256^2 + 4468^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72612563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 453749 + ... + 453908.

Almost surely, 2^72612560 is an apocalyptic number.

It is an amenable number.

72612560 is an abundant number, since it is smaller than the sum of its proper divisors (96211828).

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

72612560 is a wasteful number, since it uses less digits than its factorization.

72612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907670 (or 907664 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 72612560 is about 8521.3003702487. The cubic root of 72612560 is about 417.1932272589.

The spelling of 72612560 in words is "seventy-two million, six hundred twelve thousand, five hundred sixty".