72599582944 has 48 divisors (see below), whose sum is σ = 163388994048. Its totient is φ = 31106500992.

The previous prime is 72599582933. The next prime is 72599582959. The reversal of 72599582944 is 44928599527.

It is a happy number.

It is a super-3 number, since 3×72599582944³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931797 + ... + 1006699.

It is an arithmetic number, because the mean of its divisors is an integer number (3403937376).

Almost surely, 2^72599582944 is an apocalyptic number.

It is an amenable number.

72599582944 is an abundant number, since it is smaller than the sum of its proper divisors (90789411104).

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

72599582944 is a wasteful number, since it uses less digits than its factorization.

72599582944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79247 (or 79239 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

The spelling of 72599582944 in words is "seventy-two billion, five hundred ninety-nine million, five hundred eighty-two thousand, nine hundred forty-four".