72564235844 has 24 divisors (see below), whose sum is σ = 129166459800. Its totient is φ = 35662927104.

The previous prime is 72564235829. The next prime is 72564235873. The reversal of 72564235844 is 44853246527.

It can be written as a sum of positive squares in 4 ways, for example, as 37562316100 + 35001919744 = 193810^2 + 187088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72564235792 and 72564235801.

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, 338519 + ... + 509630.

It is an arithmetic number, because the mean of its divisors is an integer number (5381935825).

Almost surely, 2^72564235844 is an apocalyptic number.

It is an amenable number.

72564235844 is a deficient number, since it is larger than the sum of its proper divisors (56602223956).

72564235844 is a wasteful number, since it uses less digits than its factorization.

72564235844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848519 (or 848517 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 50.

The spelling of 72564235844 in words is "seventy-two billion, five hundred sixty-four million, two hundred thirty-five thousand, eight hundred forty-four".