72526798864 has 45 divisors (see below), whose sum is σ = 152190824733. Its totient is φ = 33467443776.

The previous prime is 72526798859. The next prime is 72526798933. The reversal of 72526798864 is 46889762527.

The square root of 72526798864 is 269308.

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., 10728816400 + 61797982464 = 103580^2 + 248592^2 .

It is a super-2 number, since 2×72526798864² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72526798796 and 72526798805.

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, 14001427 + ... + 14006605.

Almost surely, 2^72526798864 is an apocalyptic number.

72526798864 is the 269308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72526798864

72526798864 is an abundant number, since it is smaller than the sum of its proper divisors (79664025869).

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

72526798864 is an frugal number, since it uses more digits than its factorization.

72526798864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10392 (or 5194 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 64.

Multiplying 72526798864 by its sum of digits (64), we get a square (4641715127296 = 2154464²).

The spelling of 72526798864 in words is "seventy-two billion, five hundred twenty-six million, seven hundred ninety-eight thousand, eight hundred sixty-four".