220172 has 12 divisors (see below), whose sum is σ = 405720. Its totient is φ = 104256.

The previous prime is 220169. The next prime is 220177. The reversal of 220172 is 271022.

It is not an unprimeable number, because it can be changed into a prime (220177) 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, 1373 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (33810).

2²²⁰¹⁷² is an apocalyptic number.

It is an amenable number.

220172 is a deficient number, since it is larger than the sum of its proper divisors (185548).

220172 is a wasteful number, since it uses less digits than its factorization.

220172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 220172 is about 469.2248927753. The cubic root of 220172 is about 60.3838355645.

Subtracting from 220172 its product of nonzero digits (56), we obtain a triangular number (220116 = T₆₆₃).

Adding to 220172 its reverse (271022), we get a palindrome (491194).

The spelling of 220172 in words is "two hundred twenty thousand, one hundred seventy-two", and thus it is an iban number.