72557760000 has 400 divisors, whose sum is σ = 263542739328. Its totient is φ = 17587200000.

The previous prime is 72557759927. The next prime is 72557760019. The reversal of 72557760000 is 6775527.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10556565 + ... + 10563435.

Almost surely, 2^72557760000 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 72557760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131771369664).

72557760000 is an abundant number, since it is smaller than the sum of its proper divisors (190984979328).

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

72557760000 is an equidigital number, since it uses as much as digits as its factorization.

72557760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The spelling of 72557760000 in words is "seventy-two billion, five hundred fifty-seven million, seven hundred sixty thousand".