225207972 has 96 divisors (see below), whose sum is σ = 641410560. Its totient is φ = 67767840.

The previous prime is 225207949. The next prime is 225207977. The reversal of 225207972 is 279702522.

225207972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225207977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193063 + ... + 194225.

It is an arithmetic number, because the mean of its divisors is an integer number (6681360).

Almost surely, 2^225207972 is an apocalyptic number.

225207972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225207972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320705280).

225207972 is an abundant number, since it is smaller than the sum of its proper divisors (416202588).

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

225207972 is a wasteful number, since it uses less digits than its factorization.

225207972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 225207972 is about 15006.9307988009. The cubic root of 225207972 is about 608.4075385471.

The spelling of 225207972 in words is "two hundred twenty-five million, two hundred seven thousand, nine hundred seventy-two".