222672 has 20 divisors (see below), whose sum is σ = 575360. Its totient is φ = 74208.

The previous prime is 222659. The next prime is 222679. The reversal of 222672 is 276222.

222672 is nontrivially palindromic in base 5.

222672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 222672.

It is not an unprimeable number, because it can be changed into a prime (222679) by changing a digit.

222672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2272 + ... + 2367.

It is an arithmetic number, because the mean of its divisors is an integer number (28768).

2²²²⁶⁷² is an apocalyptic number.

It is an amenable number.

222672 is an abundant number, since it is smaller than the sum of its proper divisors (352688).

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

222672 is a wasteful number, since it uses less digits than its factorization.

222672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4644 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 222672 is about 471.8813410170. The cubic root of 222672 is about 60.6115239115.

Adding to 222672 its reverse (276222), we get a palindrome (498894).

The spelling of 222672 in words is "two hundred twenty-two thousand, six hundred seventy-two".