225874272 has 144 divisors (see below), whose sum is σ = 669014640. Its totient is φ = 66253824.

The previous prime is 225874267. The next prime is 225874321. The reversal of 225874272 is 272478522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 225874272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859129 + ... + 2859207.

It is an arithmetic number, because the mean of its divisors is an integer number (4645935).

Almost surely, 2^225874272 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 225874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334507320).

225874272 is an abundant number, since it is smaller than the sum of its proper divisors (443140368).

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

225874272 is a wasteful number, since it uses less digits than its factorization.

225874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 126 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 225874272 is about 15029.1141455510. The cubic root of 225874272 is about 609.0069590260.

The spelling of 225874272 in words is "two hundred twenty-five million, eight hundred seventy-four thousand, two hundred seventy-two".