72503824264 has 32 divisors (see below), whose sum is σ = 139195758240. Its totient is φ = 35386041600.

The previous prime is 72503824247. The next prime is 72503824291. The reversal of 72503824264 is 46242830527.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 72503824264.

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, 473344 + ... + 607504.

It is an arithmetic number, because the mean of its divisors is an integer number (4349867445).

Almost surely, 2^72503824264 is an apocalyptic number.

It is an amenable number.

72503824264 is a deficient number, since it is larger than the sum of its proper divisors (66691933976).

72503824264 is a wasteful number, since it uses less digits than its factorization.

72503824264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135781 (or 135777 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 72503824264 in words is "seventy-two billion, five hundred three million, eight hundred twenty-four thousand, two hundred sixty-four".