120072056832 has 1040 divisors, whose sum is σ = 456894242112. Its totient is φ = 30576476160.

The previous prime is 120072056831. The next prime is 120072056849. The reversal of 120072056832 is 238650270021.

120072056832 is a `hidden beast` number, since 1 + 20 + 0 + 72 + 0 + 568 + 3 + 2 = 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 (120072056831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1237856208 + ... + 1237856304.

Almost surely, 2^120072056832 is an apocalyptic number.

120072056832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120072056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228447121056).

120072056832 is an abundant number, since it is smaller than the sum of its proper divisors (336822185280).

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

120072056832 is an equidigital number, since it uses as much as digits as its factorization.

120072056832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 120072056832 in words is "one hundred twenty billion, seventy-two million, fifty-six thousand, eight hundred thirty-two".