225372 has 24 divisors (see below), whose sum is σ = 601216. Its totient is φ = 64368.

The previous prime is 225371. The next prime is 225373. The reversal of 225372 is 273522.

225372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225371) and next prime (225373).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (225371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258 + ... + 1425.

2²²⁵³⁷² is an apocalyptic number.

It is an amenable number.

225372 is an abundant number, since it is smaller than the sum of its proper divisors (375844).

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

225372 is a wasteful number, since it uses less digits than its factorization.

225372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2695 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 225372 is about 474.7336095117. The cubic root of 225372 is about 60.8555211906.

Adding to 225372 its reverse (273522), we get a palindrome (498894).

The spelling of 225372 in words is "two hundred twenty-five thousand, three hundred seventy-two".