72557401600 has 120 divisors (see below), whose sum is σ = 182715591168. Its totient is φ = 28546867200.

The previous prime is 72557401597. The next prime is 72557401601. The reversal of 72557401600 is 610475527.

It is a self number, because there is not a number n which added to its sum of digits gives 72557401600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72557401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734337 + ... + 827263.

Almost surely, 2^72557401600 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 72557401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91357795584).

72557401600 is an abundant number, since it is smaller than the sum of its proper divisors (110158189568).

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

72557401600 is an equidigital number, since it uses as much as digits as its factorization.

72557401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93016 (or 92995 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 72557401600 in words is "seventy-two billion, five hundred fifty-seven million, four hundred one thousand, six hundred".