725280 has 48 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 193280.

The previous prime is 725273. The next prime is 725293. The reversal of 725280 is 82527.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 725280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2⁷²⁵²⁸⁰ 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 725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072).

725280 is an abundant number, since it is smaller than the sum of its proper divisors (1560864).

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

725280 is a wasteful number, since it uses less digits than its factorization.

725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 725280 is about 851.6337240857. The cubic root of 725280 is about 89.8466524456.

The spelling of 725280 in words is "seven hundred twenty-five thousand, two hundred eighty".