225379872 has 72 divisors (see below), whose sum is σ = 651481740. Its totient is φ = 73889280.

The previous prime is 225379853. The next prime is 225379873. The reversal of 225379872 is 278973522.

225379872 is a `hidden beast` number, since 22 + 537 + 98 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220344336 + 5035536 = 14844^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (225379873) 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, 11154 + ... + 23982.

Almost surely, 2^225379872 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 225379872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325740870).

225379872 is an abundant number, since it is smaller than the sum of its proper divisors (426101868).

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

225379872 is a wasteful number, since it uses less digits than its factorization.

225379872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12906 (or 12895 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 225379872 is about 15012.6570599611. The cubic root of 225379872 is about 608.5622972152.

The spelling of 225379872 in words is "two hundred twenty-five million, three hundred seventy-nine thousand, eight hundred seventy-two".