225372720 has 80 divisors (see below), whose sum is σ = 701955072. Its totient is φ = 59815680.

The previous prime is 225372703. The next prime is 225372727. The reversal of 225372720 is 27273522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225372727) 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, 51415 + ... + 55625.

Almost surely, 2^225372720 is an apocalyptic number.

225372720 is a gapful number since it is divisible by the number (20) 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 225372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

225372720 is an abundant number, since it is smaller than the sum of its proper divisors (476582352).

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

225372720 is a wasteful number, since it uses less digits than its factorization.

225372720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 225372720 is about 15012.4188590647. The cubic root of 225372720 is about 608.5558599595. Note that the first 3 decimals are identical.

The spelling of 225372720 in words is "two hundred twenty-five million, three hundred seventy-two thousand, seven hundred twenty".