225243376072 has 256 divisors, whose sum is σ = 538513920000. Its totient is φ = 86805734400.

The previous prime is 225243376063. The next prime is 225243376073. The reversal of 225243376072 is 270673342522.

It is not an unprimeable number, because it can be changed into a prime (225243376073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161002429 + ... + 161003827.

It is an arithmetic number, because the mean of its divisors is an integer number (2103570000).

Almost surely, 2^225243376072 is an apocalyptic number.

225243376072 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 225243376072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269256960000).

225243376072 is an abundant number, since it is smaller than the sum of its proper divisors (313270543928).

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

225243376072 is a wasteful number, since it uses less digits than its factorization.

225243376072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 43.

The spelling of 225243376072 in words is "two hundred twenty-five billion, two hundred forty-three million, three hundred seventy-six thousand, seventy-two".