72582925824 has 720 divisors, whose sum is σ = 243549161856. Its totient is φ = 21499084800.

The previous prime is 72582925781. The next prime is 72582925847. The reversal of 72582925824 is 42852928527.

72582925824 is a `hidden beast` number, since 7 + 2 + 58 + 2 + 9 + 2 + 582 + 4 = 666.

It is a super-2 number, since 2×72582925824² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1770315244 + ... + 1770315284.

Almost surely, 2^72582925824 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 72582925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121774580928).

72582925824 is an abundant number, since it is smaller than the sum of its proper divisors (170966236032).

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

72582925824 is an frugal number, since it uses more digits than its factorization.

72582925824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 72582925824 in words is "seventy-two billion, five hundred eighty-two million, nine hundred twenty-five thousand, eight hundred twenty-four".