725610 has 48 divisors (see below), whose sum is σ = 1865376. Its totient is φ = 180576.

The previous prime is 725603. The next prime is 725639. The reversal of 725610 is 16527.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725610.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10797 + ... + 10863.

It is an arithmetic number, because the mean of its divisors is an integer number (38862).

2⁷²⁵⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932688).

725610 is an abundant number, since it is smaller than the sum of its proper divisors (1139766).

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

725610 is a wasteful number, since it uses less digits than its factorization.

725610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 725610 is about 851.8274473155. The cubic root of 725610 is about 89.8602770226.

The spelling of 725610 in words is "seven hundred twenty-five thousand, six hundred ten".