72615729400 has 48 divisors (see below), whose sum is σ = 169184260800. Its totient is φ = 28985614080.

The previous prime is 72615729383. The next prime is 72615729413. The reversal of 72615729400 is 492751627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283197 + ... + 474796.

It is an arithmetic number, because the mean of its divisors is an integer number (3524672100).

Almost surely, 2^72615729400 is an apocalyptic number.

It is an amenable number.

72615729400 is an abundant number, since it is smaller than the sum of its proper divisors (96568531400).

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

72615729400 is a wasteful number, since it uses less digits than its factorization.

72615729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758488 (or 758479 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

It can be divided in two parts, 726157 and 29400, that added together give a palindrome (755557).

The spelling of 72615729400 in words is "seventy-two billion, six hundred fifteen million, seven hundred twenty-nine thousand, four hundred".