725617756224 has 105 divisors (see below), whose sum is σ = 2151140167231. Its totient is φ = 241852141440.

The previous prime is 725617756207. The next prime is 725617756247. The reversal of 725617756224 is 422657716527.

The square root of 725617756224 is 851832.

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

725617756224 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 1 + 7 + 7 + 5 + 622 + 4 = 666.

It is a super-2 number, since 2×725617756224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 61325989 + ... + 61337819.

Almost surely, 2^725617756224 is an apocalyptic number.

725617756224 is the 851832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725617756224

725617756224 is an abundant number, since it is smaller than the sum of its proper divisors (1425522411007).

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

725617756224 is an frugal number, since it uses more digits than its factorization.

725617756224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23686 (or 11836 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

It can be divided in two parts, 725617 and 756224, that added together give a palindrome (1481841).

The spelling of 725617756224 in words is "seven hundred twenty-five billion, six hundred seventeen million, seven hundred fifty-six thousand, two hundred twenty-four".