725556000 has 192 divisors, whose sum is σ = 2560311936. Its totient is φ = 178560000.

The previous prime is 725555969. The next prime is 725556019. The reversal of 725556000 is 655527.

725556000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 153675 + ... + 158325.

It is an arithmetic number, because the mean of its divisors is an integer number (13334958).

Almost surely, 2^725556000 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 725556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280155968).

725556000 is an abundant number, since it is smaller than the sum of its proper divisors (1834755936).

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

725556000 is a wasteful number, since it uses less digits than its factorization.

725556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 725556000 is about 26936.1467177471. The cubic root of 725556000 is about 898.5804782911.

The spelling of 725556000 in words is "seven hundred twenty-five million, five hundred fifty-six thousand".