725598000 has 240 divisors, whose sum is σ = 2629894176. Its totient is φ = 193363200.

The previous prime is 725597993. The next prime is 725598047. The reversal of 725598000 is 895527.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 485254 + ... + 486746.

Almost surely, 2^725598000 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 725598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314947088).

725598000 is an abundant number, since it is smaller than the sum of its proper divisors (1904296176).

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

725598000 is a wasteful number, since it uses less digits than its factorization.

725598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 725598000 is about 26936.9263279982. The cubic root of 725598000 is about 898.5978165585.

The spelling of 725598000 in words is "seven hundred twenty-five million, five hundred ninety-eight thousand".