72557680000 has 160 divisors (see below), whose sum is σ = 194525044560. Its totient is φ = 26790144000.

The previous prime is 72557679973. The next prime is 72557680003. The reversal of 72557680000 is 8675527.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72557680003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005117 + ... + 1074883.

Almost surely, 2^72557680000 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 72557680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97262522280).

72557680000 is an abundant number, since it is smaller than the sum of its proper divisors (121967364560).

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

72557680000 is an equidigital number, since it uses as much as digits as its factorization.

72557680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69814 (or 69787 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 72557680000 in words is "seventy-two billion, five hundred fifty-seven million, six hundred eighty thousand".