72663758684416 has 81 divisors (see below), whose sum is σ = 145747547775039. Its totient is φ = 36156415068672.

The previous prime is 72663758684381. The next prime is 72663758684443. The reversal of 72663758684416 is 61448685736627.

The square root of 72663758684416 is 8524304.

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

It is a super-2 number, since 2×72663758684416² (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, 30960270955 + ... + 30960273301.

Almost surely, 2^{72663758684416} is an apocalyptic number.

72663758684416 is the 8524304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72663758684416

72663758684416 is an abundant number, since it is smaller than the sum of its proper divisors (73083789090623).

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

72663758684416 is an frugal number, since it uses more digits than its factorization.

72663758684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 2576 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 73.

The spelling of 72663758684416 in words is "seventy-two trillion, six hundred sixty-three billion, seven hundred fifty-eight million, six hundred eighty-four thousand, four hundred sixteen".