725353920 has 224 divisors, whose sum is σ = 2629204800. Its totient is φ = 188116992.

The previous prime is 725353901. The next prime is 725353933. The reversal of 725353920 is 29353527.

725353920 is a `hidden beast` number, since 72 + 53 + 539 + 2 + 0 = 666.

It is a super-2 number, since 2×725353920² = 1052276618518732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318546 + ... + 320814.

Almost surely, 2^725353920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314602400).

725353920 is an abundant number, since it is smaller than the sum of its proper divisors (1903850880).

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

725353920 is a wasteful number, since it uses less digits than its factorization.

725353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 725353920 is about 26932.3953632053. The cubic root of 725353920 is about 898.4970471000.

The spelling of 725353920 in words is "seven hundred twenty-five million, three hundred fifty-three thousand, nine hundred twenty".