120756072 has 32 divisors (see below), whose sum is σ = 315017280. Its totient is φ = 38501760.

The previous prime is 120756071. The next prime is 120756109. The reversal of 120756072 is 270657021.

It is not an unprimeable number, because it can be changed into a prime (120756071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108829 + ... + 109932.

It is an arithmetic number, because the mean of its divisors is an integer number (9844290).

Almost surely, 2^120756072 is an apocalyptic number.

120756072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120756072 is an abundant number, since it is smaller than the sum of its proper divisors (194261208).

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

120756072 is a wasteful number, since it uses less digits than its factorization.

120756072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218793 (or 218789 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 120756072 is about 10988.9067700113. The cubic root of 120756072 is about 494.2761545559.

The spelling of 120756072 in words is "one hundred twenty million, seven hundred fifty-six thousand, seventy-two".