226872 has 48 divisors (see below), whose sum is σ = 645840. Its totient is φ = 71808.

The previous prime is 226871. The next prime is 226901. The reversal of 226872 is 278622.

226872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1588 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (13455).

226872 is a Friedman number, since it can be written as 822*276, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 276 ⋅ 822 (with its own digits).

2²²⁶⁸⁷² 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 226872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322920).

226872 is an abundant number, since it is smaller than the sum of its proper divisors (418968).

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

226872 is a wasteful number, since it uses less digits than its factorization.

226872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 226872 is about 476.3108228877. The cubic root of 226872 is about 60.9902340363.

The spelling of 226872 in words is "two hundred twenty-six thousand, eight hundred seventy-two".