725800 has 48 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 273600.

The previous prime is 725789. The next prime is 725801. The reversal of 725800 is 8527.

It is not an unprimeable number, because it can be changed into a prime (725801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3705 + ... + 3895.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2⁷²⁵⁸⁰⁰ 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 725800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

725800 is an abundant number, since it is smaller than the sum of its proper divisors (1059800).

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

725800 is a wasteful number, since it uses less digits than its factorization.

725800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 725800 is about 851.9389649500. The cubic root of 725800 is about 89.8681196023.

The spelling of 725800 in words is "seven hundred twenty-five thousand, eight hundred".