72512770176 has 384 divisors, whose sum is σ = 260905881600. Its totient is φ = 18779904000.

The previous prime is 72512770147. The next prime is 72512770181. The reversal of 72512770176 is 67107721527.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37166001 + ... + 37167951.

It is an arithmetic number, because the mean of its divisors is an integer number (679442400).

Almost surely, 2^72512770176 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 72512770176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130452940800).

72512770176 is an abundant number, since it is smaller than the sum of its proper divisors (188393111424).

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

72512770176 is a wasteful number, since it uses less digits than its factorization.

72512770176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 72512770176 in words is "seventy-two billion, five hundred twelve million, seven hundred seventy thousand, one hundred seventy-six".