725667 has 16 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 441504.

The previous prime is 725663. The next prime is 725671. The reversal of 725667 is 766527.

It is an interprime number because it is at equal distance from previous prime (725663) and next prime (725671).

It is not a de Polignac number, because 725667 - 2² = 725663 is a prime.

It is an Ulam number.

Its product of digits (17640) is a multiple of the sum of its prime divisors (490).

It is not an unprimeable number, because it can be changed into a prime (725663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434 + ... + 1872.

It is an arithmetic number, because the mean of its divisors is an integer number (66000).

2⁷²⁵⁶⁶⁷ is an apocalyptic number.

725667 is a deficient number, since it is larger than the sum of its proper divisors (330333).

725667 is a wasteful number, since it uses less digits than its factorization.

725667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490.

The product of its digits is 17640, while the sum is 33.

The square root of 725667 is about 851.8609041387. The cubic root of 725667 is about 89.8626299403.

The spelling of 725667 in words is "seven hundred twenty-five thousand, six hundred sixty-seven".