72350725824 has 224 divisors, whose sum is σ = 230395515840. Its totient is φ = 22131892224.

The previous prime is 72350725801. The next prime is 72350725861. The reversal of 72350725824 is 42852705327.

72350725824 is a `hidden beast` number, since 72 + 3 + 507 + 2 + 58 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72350725824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3876964 + ... + 3895580.

It is an arithmetic number, because the mean of its divisors is an integer number (1028551410).

Almost surely, 2^72350725824 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 72350725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115197757920).

72350725824 is an abundant number, since it is smaller than the sum of its proper divisors (158044790016).

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

72350725824 is a wasteful number, since it uses less digits than its factorization.

72350725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18824 (or 18808 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 72350725824 in words is "seventy-two billion, three hundred fifty million, seven hundred twenty-five thousand, eight hundred twenty-four".