725264 has 10 divisors (see below), whose sum is σ = 1405230. Its totient is φ = 362624.

The previous prime is 725209. The next prime is 725273. The reversal of 725264 is 462527.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 85264 = 800^2 + 292^2 .

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725264.

It is an unprimeable number.

725264 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 as a sum of consecutive naturals, namely, 22649 + ... + 22680.

It is an arithmetic number, because the mean of its divisors is an integer number (140523).

2⁷²⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

725264 is a deficient number, since it is larger than the sum of its proper divisors (679966).

725264 is a wasteful number, since it uses less digits than its factorization.

725264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45337 (or 45331 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 725264 is about 851.6243303241. The cubic root of 725264 is about 89.8459917550.

It can be divided in two parts, 725 and 264, that added together give a palindrome (989).

The spelling of 725264 in words is "seven hundred twenty-five thousand, two hundred sixty-four".