120115072 has 96 divisors (see below), whose sum is σ = 303839640. Its totient is φ = 46771200.

The previous prime is 120115069. The next prime is 120115103. The reversal of 120115072 is 270511021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68122 + ... + 69862.

Almost surely, 2^120115072 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 120115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151919820).

120115072 is an abundant number, since it is smaller than the sum of its proper divisors (183724568).

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

120115072 is a wasteful number, since it uses less digits than its factorization.

120115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 120115072 is about 10959.7021857348. The cubic root of 120115072 is about 493.4000266948.

Adding to 120115072 its reverse (270511021), we get a palindrome (390626093).

The spelling of 120115072 in words is "one hundred twenty million, one hundred fifteen thousand, seventy-two".