72225648 has 80 divisors (see below), whose sum is σ = 226176000. Its totient is φ = 21885120.

The previous prime is 72225607. The next prime is 72225649. The reversal of 72225648 is 84652227.

72225648 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 5 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72225649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2848 + ... + 12351.

It is an arithmetic number, because the mean of its divisors is an integer number (2827200).

Almost surely, 2^72225648 is an apocalyptic number.

It is an amenable number.

72225648 is an abundant number, since it is smaller than the sum of its proper divisors (153950352).

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

72225648 is a wasteful number, since it uses less digits than its factorization.

72225648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227 (or 15215 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 72225648 is about 8498.5674086872. The cubic root of 72225648 is about 416.4509102351.

The spelling of 72225648 in words is "seventy-two million, two hundred twenty-five thousand, six hundred forty-eight".