725580 has 72 divisors (see below), whose sum is σ = 2293200. Its totient is φ = 185472.

The previous prime is 725579. The next prime is 725587. The reversal of 725580 is 85527.

It is a happy number.

It is a super-3 number, since 3×725580³ = 1145980333095336000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5151 + ... + 5289.

It is an arithmetic number, because the mean of its divisors is an integer number (31850).

2⁷²⁵⁵⁸⁰ 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 725580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146600).

725580 is an abundant number, since it is smaller than the sum of its proper divisors (1567620).

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

725580 is a wasteful number, since it uses less digits than its factorization.

725580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 725580 is about 851.8098379333. The cubic root of 725580 is about 89.8590385954.

The spelling of 725580 in words is "seven hundred twenty-five thousand, five hundred eighty".