725589900 has 360 divisors, whose sum is σ = 2742491136. Its totient is φ = 162518400.

The previous prime is 725589877. The next prime is 725589923. The reversal of 725589900 is 9985527.

It is a happy number.

725589900 is a `hidden beast` number, since 7 + 2 + 558 + 9 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725589877) and next prime (725589923).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3798805 + ... + 3798995.

Almost surely, 2^725589900 is an apocalyptic number.

725589900 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 725589900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371245568).

725589900 is an abundant number, since it is smaller than the sum of its proper divisors (2016901236).

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

725589900 is a wasteful number, since it uses less digits than its factorization.

725589900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 725589900 is about 26936.7759763488. The cubic root of 725589900 is about 898.5944728019.

The spelling of 725589900 in words is "seven hundred twenty-five million, five hundred eighty-nine thousand, nine hundred".