120015072 has 36 divisors (see below), whose sum is σ = 341293680. Its totient is φ = 40004928.

The previous prime is 120015061. The next prime is 120015073. The reversal of 120015072 is 270510021.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120015073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208072 + ... + 208647.

It is an arithmetic number, because the mean of its divisors is an integer number (9480380).

Almost surely, 2^120015072 is an apocalyptic number.

120015072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120015072 is an abundant number, since it is smaller than the sum of its proper divisors (221278608).

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

120015072 is a wasteful number, since it uses less digits than its factorization.

120015072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416735 (or 416724 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120015072 is about 10955.1390680356. The cubic root of 120015072 is about 493.2630644174.

Adding to 120015072 its reverse (270510021), we get a palindrome (390525093).

The spelling of 120015072 in words is "one hundred twenty million, fifteen thousand, seventy-two".