725920 has 48 divisors (see below), whose sum is σ = 1852200. Its totient is φ = 267264.

The previous prime is 725909. The next prime is 725929. The reversal of 725920 is 29527.

725920 = 72² + 73² + ... + 136².

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 190096 = 732^2 + 436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725929) by changing a digit.

725920 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, 1906 + ... + 2254.

2⁷²⁵⁹²⁰ 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 725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926100).

725920 is an abundant number, since it is smaller than the sum of its proper divisors (1126280).

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

725920 is a wasteful number, since it uses less digits than its factorization.

725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 725920 is about 852.0093896196. The cubic root of 725920 is about 89.8730721053.

The spelling of 725920 in words is "seven hundred twenty-five thousand, nine hundred twenty".