72310599504 has 640 divisors, whose sum is σ = 256250265600. Its totient is φ = 19222272000.

The previous prime is 72310599497. The next prime is 72310599527. The reversal of 72310599504 is 40599501327.

It is a happy number.

72310599504 is a `hidden beast` number, since 7 + 2 + 3 + 1 + 0 + 599 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72310599504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116818107 + ... + 116818725.

It is an arithmetic number, because the mean of its divisors is an integer number (400391040).

Almost surely, 2^72310599504 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 72310599504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128125132800).

72310599504 is an abundant number, since it is smaller than the sum of its proper divisors (183939666096).

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

72310599504 is a wasteful number, since it uses less digits than its factorization.

72310599504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 72310599504 in words is "seventy-two billion, three hundred ten million, five hundred ninety-nine thousand, five hundred four".