725452200 has 576 divisors, whose sum is σ = 2924812800. Its totient is φ = 165369600.

The previous prime is 725452157. The next prime is 725452219. The reversal of 725452200 is 2254527.

725452200 is a `hidden beast` number, since 7 + 2 + 5 + 452 + 200 = 666.

725452200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12295771 + ... + 12295829.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^725452200 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 725452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

725452200 is an abundant number, since it is smaller than the sum of its proper divisors (2199360600).

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

725452200 is a wasteful number, since it uses less digits than its factorization.

725452200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 725452200 is about 26934.2198698978. The cubic root of 725452200 is about 898.5376251311.

The spelling of 725452200 in words is "seven hundred twenty-five million, four hundred fifty-two thousand, two hundred".