72371224224 has 576 divisors, whose sum is σ = 240504163200. Its totient is φ = 21398307840.

The previous prime is 72371224217. The next prime is 72371224231. The reversal of 72371224224 is 42242217327.

It is an interprime number because it is at equal distance from previous prime (72371224217) and next prime (72371224231).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 342991479 + ... + 342991689.

It is an arithmetic number, because the mean of its divisors is an integer number (417541950).

Almost surely, 2^72371224224 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 72371224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120252081600).

72371224224 is an abundant number, since it is smaller than the sum of its proper divisors (168132938976).

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

72371224224 is a wasteful number, since it uses less digits than its factorization.

72371224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 258 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The spelling of 72371224224 in words is "seventy-two billion, three hundred seventy-one million, two hundred twenty-four thousand, two hundred twenty-four".