72673715412544 has 63 divisors (see below), whose sum is σ = 153196404314097. Its totient is φ = 34198849895424.

The previous prime is 72673715412511. The next prime is 72673715412553. The reversal of 72673715412544 is 44521451737627.

The square root of 72673715412544 is 8524888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56579882241600 + 16093833170944 = 7521960^2 + 4011712^2 .

It is a super-2 number, since 2×72673715412544² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1159353427 + ... + 1159416109.

Almost surely, 2^{72673715412544} is an apocalyptic number.

72673715412544 is the 8524888-th square number.

It is an amenable number.

72673715412544 is an abundant number, since it is smaller than the sum of its proper divisors (80522688901553).

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

72673715412544 is an frugal number, since it uses more digits than its factorization.

72673715412544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125412 (or 62702 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 58.

The spelling of 72673715412544 in words is "seventy-two trillion, six hundred seventy-three billion, seven hundred fifteen million, four hundred twelve thousand, five hundred forty-four".