725816 has 32 divisors (see below), whose sum is σ = 1676640. Its totient is φ = 286848.

The previous prime is 725807. The next prime is 725827. The reversal of 725816 is 618527.

725816 = 319² + 320² + ... + 325².

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

It is a congruent number.

It is an unprimeable number.

725816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (52395).

2⁷²⁵⁸¹⁶ 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 725816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838320).

725816 is an abundant number, since it is smaller than the sum of its proper divisors (950824).

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

725816 is a wasteful number, since it uses less digits than its factorization.

725816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 725816 is about 851.9483552423. The cubic root of 725816 is about 89.8687799675.

The spelling of 725816 in words is "seven hundred twenty-five thousand, eight hundred sixteen".