72124006304 has 36 divisors (see below), whose sum is σ = 165176857314. Its totient is φ = 30910287744.

The previous prime is 72124006301. The next prime is 72124006333. The reversal of 72124006304 is 40360042127.

It can be written as a sum of positive squares in only one way, i.e., 38580816400 + 33543189904 = 196420^2 + 183148^2 .

It is not an unprimeable number, because it can be changed into a prime (72124006301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22997159 + ... + 23000294.

Almost surely, 2^72124006304 is an apocalyptic number.

It is an amenable number.

72124006304 is an abundant number, since it is smaller than the sum of its proper divisors (93052851010).

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

72124006304 is a wasteful number, since it uses less digits than its factorization.

72124006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45997477 (or 45997462 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 72124006304 in words is "seventy-two billion, one hundred twenty-four million, six thousand, three hundred four".