725167 has 8 divisors (see below), whose sum is σ = 776160. Its totient is φ = 675840.

The previous prime is 725161. The next prime is 725189. The reversal of 725167 is 761527.

725167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 725167 - 2³ = 725159 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559 + ... + 1327.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

2⁷²⁵¹⁶⁷ is an apocalyptic number.

725167 is a deficient number, since it is larger than the sum of its proper divisors (50993).

725167 is a wasteful number, since it uses less digits than its factorization.

725167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its digits is 2940, while the sum is 28.

The square root of 725167 is about 851.5673784264. The cubic root of 725167 is about 89.8419861103.

Subtracting from 725167 its product of digits (2940), we obtain a palindrome (722227).

The spelling of 725167 in words is "seven hundred twenty-five thousand, one hundred sixty-seven".