72857716446000 has 320 divisors, whose sum is σ = 246158094873600. Its totient is φ = 18504229427200.

The previous prime is 72857716445993. The next prime is 72857716446019. The reversal of 72857716446000 is 64461775827.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31021051 + ... + 33286949.

It is an arithmetic number, because the mean of its divisors is an integer number (769244046480).

Almost surely, 2^{72857716446000} 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 72857716446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123079047436800).

72857716446000 is an abundant number, since it is smaller than the sum of its proper divisors (173300378427600).

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

72857716446000 is a wasteful number, since it uses less digits than its factorization.

72857716446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266181 (or 2266165 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 72857716446000 in words is "seventy-two trillion, eight hundred fifty-seven billion, seven hundred sixteen million, four hundred forty-six thousand".