725724 has 36 divisors (see below), whose sum is σ = 1932840. Its totient is φ = 228960.

The previous prime is 725723. The next prime is 725731. The reversal of 725724 is 427527.

725724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725723) 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, 154 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (53690).

2⁷²⁵⁷²⁴ 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 725724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966420).

725724 is an abundant number, since it is smaller than the sum of its proper divisors (1207116).

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

725724 is a wasteful number, since it uses less digits than its factorization.

725724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 725724 is about 851.8943596480. The cubic root of 725724 is about 89.8649827347.

The spelling of 725724 in words is "seven hundred twenty-five thousand, seven hundred twenty-four".