226672 has 20 divisors (see below), whose sum is σ = 454336. Its totient is φ = 109440.

The previous prime is 226669. The next prime is 226691. The reversal of 226672 is 276622.

It is a happy number.

226672 is an admirable number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 268 + ... + 724.

2²²⁶⁶⁷² 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 226672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227168).

226672 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

226672 is a wasteful number, since it uses less digits than its factorization.

226672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 226672 is about 476.1008296569. The cubic root of 226672 is about 60.9723066985.

It can be divided in two parts, 226 and 672, that added together give a palindrome (898).

The spelling of 226672 in words is "two hundred twenty-six thousand, six hundred seventy-two".