225972 has 18 divisors (see below), whose sum is σ = 571298. Its totient is φ = 75312.

The previous prime is 225961. The next prime is 225977. The reversal of 225972 is 279522.

It is a happy number.

225972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 224676 + 1296 = 474^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225977) by changing a digit.

225972 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 5 ways as a sum of consecutive naturals, for example, 3103 + ... + 3174.

2²²⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

225972 is an abundant number, since it is smaller than the sum of its proper divisors (345326).

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

225972 is a wasteful number, since it uses less digits than its factorization.

225972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6282 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 225972 is about 475.3651228267. The cubic root of 225972 is about 60.9094778457.

The spelling of 225972 in words is "two hundred twenty-five thousand, nine hundred seventy-two".