225036072 has 96 divisors (see below), whose sum is σ = 662898600. Its totient is φ = 68677632.

The previous prime is 225035989. The next prime is 225036079. The reversal of 225036072 is 270630522.

225036072 is a `hidden beast` number, since 2 + 2 + 50 + 3 + 607 + 2 = 666.

225036072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 218034756 + 7001316 = 14766^2 + 2646^2 .

It is not an unprimeable number, because it can be changed into a prime (225036079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42804 + ... + 47772.

Almost surely, 2^225036072 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 225036072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331449300).

225036072 is an abundant number, since it is smaller than the sum of its proper divisors (437862528).

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

225036072 is a wasteful number, since it uses less digits than its factorization.

225036072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225036072 is about 15001.2023518117. The cubic root of 225036072 is about 608.2527011080.

Adding to 225036072 its reverse (270630522), we get a palindrome (495666594).

The spelling of 225036072 in words is "two hundred twenty-five million, thirty-six thousand, seventy-two".