72582333120 has 448 divisors, whose sum is σ = 285292800000. Its totient is φ = 17220280320.

The previous prime is 72582333113. The next prime is 72582333133. The reversal of 72582333120 is 2133328527.

72582333120 is a `hidden beast` number, since 72 + 582 + 3 + 3 + 3 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×72582333120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4458756 + ... + 4475004.

Almost surely, 2^72582333120 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 72582333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400000).

72582333120 is an abundant number, since it is smaller than the sum of its proper divisors (212710466880).

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

72582333120 is a wasteful number, since it uses less digits than its factorization.

72582333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16333 (or 16317 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 72582333120 in words is "seventy-two billion, five hundred eighty-two million, three hundred thirty-three thousand, one hundred twenty".