725977152 has 84 divisors (see below), whose sum is σ = 2171395200. Its totient is φ = 231466752.

The previous prime is 725977151. The next prime is 725977157. The reversal of 725977152 is 251779527.

725977152 is a `hidden beast` number, since 7 + 2 + 597 + 7 + 1 + 52 = 666.

It is a super-2 number, since 2×725977152² = 1054085650452062208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 725977098 and 725977107.

It is not an unprimeable number, because it can be changed into a prime (725977151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14152 + ... + 40647.

Almost surely, 2^725977152 is an apocalyptic number.

725977152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

725977152 is an abundant number, since it is smaller than the sum of its proper divisors (1445418048).

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

725977152 is a wasteful number, since it uses less digits than its factorization.

725977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54840 (or 54827 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The square root of 725977152 is about 26943.9631828727. The cubic root of 725977152 is about 898.7543062552.

The spelling of 725977152 in words is "seven hundred twenty-five million, nine hundred seventy-seven thousand, one hundred fifty-two".