225971872 has 72 divisors (see below), whose sum is σ = 531782496. Its totient is φ = 92585856.

The previous prime is 225971861. The next prime is 225971881. The reversal of 225971872 is 278179522.

225971872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117543 + ... + 119449.

It is an arithmetic number, because the mean of its divisors is an integer number (7385868).

Almost surely, 2^225971872 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 225971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265891248).

225971872 is an abundant number, since it is smaller than the sum of its proper divisors (305810624).

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

225971872 is a wasteful number, since it uses less digits than its factorization.

225971872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1939 counting only the distinct ones).

The product of its digits is 141120, while the sum is 43.

The square root of 225971872 is about 15032.3608258982. The cubic root of 225971872 is about 609.0946634519.

The spelling of 225971872 in words is "two hundred twenty-five million, nine hundred seventy-one thousand, eight hundred seventy-two".