72616575799296 has 117 divisors (see below), whose sum is σ = 209760337058259. Its totient is φ = 24204979888128.

The previous prime is 72616575799283. The next prime is 72616575799303. The reversal of 72616575799296 is 69299757561627.

The square root of 72616575799296 is 8521536.

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

72616575799296 is a `hidden beast` number, since 7 + 2 + 6 + 16 + 5 + 7 + 579 + 9 + 29 + 6 = 666.

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, 1636112721 + ... + 1636157103.

Almost surely, 2^{72616575799296} is an apocalyptic number.

72616575799296 is the 8521536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72616575799296

72616575799296 is an abundant number, since it is smaller than the sum of its proper divisors (137143761258963).

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

72616575799296 is an frugal number, since it uses more digits than its factorization.

72616575799296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88796 (or 44388 counting only the distinct ones).

The product of its digits is 5401015200, while the sum is 81.

The spelling of 72616575799296 in words is "seventy-two trillion, six hundred sixteen billion, five hundred seventy-five million, seven hundred ninety-nine thousand, two hundred ninety-six".