72512640 has 96 divisors (see below), whose sum is σ = 250415100. Its totient is φ = 19335168.

The previous prime is 72512611. The next prime is 72512651. The reversal of 72512640 is 4621527.

72512640 is a `hidden beast` number, since 7 + 2 + 5 + 12 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 7096896 = 8088^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535 + ... + 12054.

Almost surely, 2^72512640 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 72512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125207550).

72512640 is an abundant number, since it is smaller than the sum of its proper divisors (177902460).

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

72512640 is a wasteful number, since it uses less digits than its factorization.

72512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72512640 is about 8515.4353969718. The cubic root of 72512640 is about 417.0017769881.

The spelling of 72512640 in words is "seventy-two million, five hundred twelve thousand, six hundred forty".