225498072 has 64 divisors (see below), whose sum is σ = 590100480. Its totient is φ = 71672832.

The previous prime is 225498071. The next prime is 225498089. The reversal of 225498072 is 270894522.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225498072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225498071) 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, 334728 + ... + 335400.

It is an arithmetic number, because the mean of its divisors is an integer number (9220320).

Almost surely, 2^225498072 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 225498072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295050240).

225498072 is an abundant number, since it is smaller than the sum of its proper divisors (364602408).

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

225498072 is a wasteful number, since it uses less digits than its factorization.

225498072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 225498072 is about 15016.5932221659. The cubic root of 225498072 is about 608.6686650283.

The spelling of 225498072 in words is "two hundred twenty-five million, four hundred ninety-eight thousand, seventy-two".