120072456 has 160 divisors (see below), whose sum is σ = 389600640. Its totient is φ = 33841152.

The previous prime is 120072427. The next prime is 120072523. The reversal of 120072456 is 654270021.

120072456 is a `hidden beast` number, since 1 + 200 + 7 + 2 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467080 + ... + 467336.

It is an arithmetic number, because the mean of its divisors is an integer number (2435004).

Almost surely, 2^120072456 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 120072456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194800320).

120072456 is an abundant number, since it is smaller than the sum of its proper divisors (269528184).

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

120072456 is a wasteful number, since it uses less digits than its factorization.

120072456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120072456 is about 10957.7577998421. The cubic root of 120072456 is about 493.3416681491.

The spelling of 120072456 in words is "one hundred twenty million, seventy-two thousand, four hundred fifty-six".