120071772 has 54 divisors (see below), whose sum is σ = 308527128. Its totient is φ = 39373488.

The previous prime is 120071767. The next prime is 120071789. The reversal of 120071772 is 277170021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161233 + ... + 161975.

Almost surely, 2^120071772 is an apocalyptic number.

120071772 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 120071772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154263564).

120071772 is an abundant number, since it is smaller than the sum of its proper divisors (188455356).

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

120071772 is a wasteful number, since it uses less digits than its factorization.

120071772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 120071772 is about 10957.7265890330. The cubic root of 120071772 is about 493.3407313638.

The spelling of 120071772 in words is "one hundred twenty million, seventy-one thousand, seven hundred seventy-two".