225672 has 16 divisors (see below), whose sum is σ = 564240. Its totient is φ = 75216.

The previous prime is 225671. The next prime is 225683. The reversal of 225672 is 276522.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9403 = 225672 / (2 + 2 + 5 + 6 + 7 + 2).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (225671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4678 + ... + 4725.

It is an arithmetic number, because the mean of its divisors is an integer number (35265).

2²²⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

225672 is an abundant number, since it is smaller than the sum of its proper divisors (338568).

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

225672 is a wasteful number, since it uses less digits than its factorization.

225672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9408 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 225672 is about 475.0494711080. The cubic root of 225672 is about 60.8825114728.

The spelling of 225672 in words is "two hundred twenty-five thousand, six hundred seventy-two".