72547144824 has 384 divisors, whose sum is σ = 242477452800. Its totient is φ = 17850792960.

The previous prime is 72547144781. The next prime is 72547144867. The reversal of 72547144824 is 42844174527.

It is an interprime number because it is at equal distance from previous prime (72547144781) and next prime (72547144867).

It is a super-2 number, since 2×72547144824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32429434 + ... + 32431670.

It is an arithmetic number, because the mean of its divisors is an integer number (631451700).

Almost surely, 2^72547144824 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 72547144824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121238726400).

72547144824 is an abundant number, since it is smaller than the sum of its proper divisors (169930307976).

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

72547144824 is a wasteful number, since it uses less digits than its factorization.

72547144824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its digits is 2007040, while the sum is 48.

The spelling of 72547144824 in words is "seventy-two billion, five hundred forty-seven million, one hundred forty-four thousand, eight hundred twenty-four".