72875757960 has 288 divisors, whose sum is σ = 247165551360. Its totient is φ = 18617651712.

The previous prime is 72875757841. The next prime is 72875757989. The reversal of 72875757960 is 6975757827.

72875757960 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 57 + 579 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33019177 + ... + 33021383.

It is an arithmetic number, because the mean of its divisors is an integer number (858213720).

Almost surely, 2^72875757960 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 72875757960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123582775680).

72875757960 is an abundant number, since it is smaller than the sum of its proper divisors (174289793400).

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

72875757960 is a wasteful number, since it uses less digits than its factorization.

72875757960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 72875757960 in words is "seventy-two billion, eight hundred seventy-five million, seven hundred fifty-seven thousand, nine hundred sixty".