225132672 has 128 divisors (see below), whose sum is σ = 641376000. Its totient is φ = 69755904.

The previous prime is 225132667. The next prime is 225132673. The reversal of 225132672 is 276231522.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (225132673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430203 + ... + 430725.

It is an arithmetic number, because the mean of its divisors is an integer number (5010750).

Almost surely, 2^225132672 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 225132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320688000).

225132672 is an abundant number, since it is smaller than the sum of its proper divisors (416243328).

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

225132672 is a wasteful number, since it uses less digits than its factorization.

225132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 225132672 is about 15004.4217482714. The cubic root of 225132672 is about 608.3397224241.

The spelling of 225132672 in words is "two hundred twenty-five million, one hundred thirty-two thousand, six hundred seventy-two".