725955300 has 216 divisors, whose sum is σ = 2622401600. Its totient is φ = 164540160.

The previous prime is 725955299. The next prime is 725955331. The reversal of 725955300 is 3559527.

725955300 is a `hidden beast` number, since 72 + 59 + 5 + 530 + 0 = 666.

It is a super-2 number, since 2×725955300² = 1054022195196180000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 875286 + ... + 876114.

Almost surely, 2^725955300 is an apocalyptic number.

725955300 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725955300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311200800).

725955300 is an abundant number, since it is smaller than the sum of its proper divisors (1896446300).

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

725955300 is a wasteful number, since it uses less digits than its factorization.

725955300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 725955300 is about 26943.5576715474. The cubic root of 725955300 is about 898.7452886270.

The spelling of 725955300 in words is "seven hundred twenty-five million, nine hundred fifty-five thousand, three hundred".