72615158784 has 297 divisors, whose sum is σ = 244517062881. Its totient is φ = 20695449600.

The previous prime is 72615158771. The next prime is 72615158801. The reversal of 72615158784 is 48785151627.

The square root of 72615158784 is 269472.

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

72615158784 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 51 + 587 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71892624384 + 722534400 = 268128^2 + 26880^2 .

It is a super-2 number, since 2×72615158784² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72615158784.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181084984 + ... + 181085384.

Almost surely, 2^72615158784 is an apocalyptic number.

72615158784 is the 269472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72615158784

72615158784 is an abundant number, since it is smaller than the sum of its proper divisors (171901904097).

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

72615158784 is an equidigital number, since it uses as much as digits as its factorization.

72615158784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 413 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 72615158784 in words is "seventy-two billion, six hundred fifteen million, one hundred fifty-eight thousand, seven hundred eighty-four".