725305 has 32 divisors (see below), whose sum is σ = 1119744. Its totient is φ = 439296.

The previous prime is 725303. The next prime is 725317. The reversal of 725305 is 503527.

It is a cyclic number.

It is not a de Polignac number, because 725305 - 2¹ = 725303 is a prime.

It is a Duffinian number.

725305 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13659 + ... + 13711.

It is an arithmetic number, because the mean of its divisors is an integer number (34992).

2⁷²⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

725305 is a deficient number, since it is larger than the sum of its proper divisors (394439).

725305 is a wasteful number, since it uses less digits than its factorization.

725305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 725305 is about 851.6484016306. The cubic root of 725305 is about 89.8476847552.

The spelling of 725305 in words is "seven hundred twenty-five thousand, three hundred five".