225775872 has 108 divisors (see below), whose sum is σ = 744016000. Its totient is φ = 64502784.

The previous prime is 225775801. The next prime is 225775877. The reversal of 225775872 is 278577522.

225775872 is a `hidden beast` number, since 2 + 2 + 577 + 5 + 8 + 72 = 666.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (225775877) 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, 9129 + ... + 23127.

Almost surely, 2^225775872 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 225775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372008000).

225775872 is an abundant number, since it is smaller than the sum of its proper divisors (518240128).

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

225775872 is a wasteful number, since it uses less digits than its factorization.

225775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14028 (or 14011 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 225775872 is about 15025.8401429005. The cubic root of 225775872 is about 608.9185101314.

The spelling of 225775872 in words is "two hundred twenty-five million, seven hundred seventy-five thousand, eight hundred seventy-two".