320172 has 12 divisors (see below), whose sum is σ = 747096. Its totient is φ = 106720.

The previous prime is 320153. The next prime is 320179. The reversal of 320172 is 271023.

320172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320172.

It is not an unprimeable number, because it can be changed into a prime (320179) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13329 + ... + 13352.

It is an arithmetic number, because the mean of its divisors is an integer number (62258).

2³²⁰¹⁷² is an apocalyptic number.

It is an amenable number.

320172 is an abundant number, since it is smaller than the sum of its proper divisors (426924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320172 is a wasteful number, since it uses less digits than its factorization.

320172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26688 (or 26686 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 320172 is about 565.8374324839. The cubic root of 320172 is about 68.4112904997.

Adding to 320172 its reverse (271023), we get a palindrome (591195).

It can be divided in two parts, 3 and 20172, that multiplied together give a square (60516 = 246²).

The spelling of 320172 in words is "three hundred twenty thousand, one hundred seventy-two", and thus it is an iban number.