725553000 has 192 divisors, whose sum is σ = 2582049600. Its totient is φ = 183254400.

The previous prime is 725552977. The next prime is 725553007. The reversal of 725553000 is 355527.

It is not an unprimeable number, because it can be changed into a prime (725553007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168879 + ... + 173121.

It is an arithmetic number, because the mean of its divisors is an integer number (13448175).

Almost surely, 2^725553000 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 725553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291024800).

725553000 is an abundant number, since it is smaller than the sum of its proper divisors (1856496600).

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

725553000 is a wasteful number, since it uses less digits than its factorization.

725553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 725553000 is about 26936.0910304372. The cubic root of 725553000 is about 898.5792398178.

The spelling of 725553000 in words is "seven hundred twenty-five million, five hundred fifty-three thousand".