225072000 has 256 divisors, whose sum is σ = 830606400. Its totient is φ = 59904000.

The previous prime is 225071983. The next prime is 225072007. The reversal of 225072000 is 270522.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225072007) 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, 431740 + ... + 432260.

Almost surely, 2^225072000 is an apocalyptic number.

225072000 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 225072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415303200).

225072000 is an abundant number, since it is smaller than the sum of its proper divisors (605534400).

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

225072000 is an equidigital number, since it uses as much as digits as its factorization.

225072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 225072000 is about 15002.3998080307. The cubic root of 225072000 is about 608.2850694597.

The spelling of 225072000 in words is "two hundred twenty-five million, seventy-two thousand".