228172 has 24 divisors (see below), whose sum is σ = 473760. Its totient is φ = 94080.

The previous prime is 228139. The next prime is 228181. The reversal of 228172 is 271822.

It is a super-3 number, since 3×228172³ = 35637587953633344, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 672 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (19740).

2²²⁸¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236880).

228172 is an abundant number, since it is smaller than the sum of its proper divisors (245588).

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

228172 is a wasteful number, since it uses less digits than its factorization.

228172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 228172 is about 477.6735286783. The cubic root of 228172 is about 61.1065056829.

Subtracting from 228172 its sum of digits (22), we obtain a triangular number (228150 = T₆₇₅).

Adding to 228172 its reverse (271822), we get a palindrome (499994).

It can be divided in two parts, 228 and 172, that added together give a square (400 = 20²).

The spelling of 228172 in words is "two hundred twenty-eight thousand, one hundred seventy-two".