725971 has 6 divisors (see below), whose sum is σ = 766572. Its totient is φ = 687420.

The previous prime is 725953. The next prime is 725981. The reversal of 725971 is 179527.

It is not a de Polignac number, because 725971 - 2⁵ = 725939 is a prime.

It is a Duffinian number.

725971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (725981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 645 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (127762).

2⁷²⁵⁹⁷¹ is an apocalyptic number.

725971 is a deficient number, since it is larger than the sum of its proper divisors (40601).

725971 is a wasteful number, since it uses less digits than its factorization.

725971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2030 counting only the distinct ones).

The product of its digits is 4410, while the sum is 31.

The square root of 725971 is about 852.0393183416. The cubic root of 725971 is about 89.8751767538.

The spelling of 725971 in words is "seven hundred twenty-five thousand, nine hundred seventy-one".