72553437824 has 64 divisors (see below), whose sum is σ = 166489589760. Its totient is φ = 30849444864.

The previous prime is 72553437809. The next prime is 72553437839. The reversal of 72553437824 is 42873435527.

It is an interprime number because it is at equal distance from previous prime (72553437809) and next prime (72553437839).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205007 + ... + 432590.

It is an arithmetic number, because the mean of its divisors is an integer number (2601399840).

Almost surely, 2^72553437824 is an apocalyptic number.

It is an amenable number.

72553437824 is an abundant number, since it is smaller than the sum of its proper divisors (93936151936).

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

72553437824 is a wasteful number, since it uses less digits than its factorization.

72553437824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637745 (or 637733 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 50.

The spelling of 72553437824 in words is "seventy-two billion, five hundred fifty-three million, four hundred thirty-seven thousand, eight hundred twenty-four".