120172160 has 64 divisors (see below), whose sum is σ = 290234880. Its totient is φ = 47576064.

The previous prime is 120172159. The next prime is 120172163. The reversal of 120172160 is 61271021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (120172163) 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, 65009 + ... + 66831.

It is an arithmetic number, because the mean of its divisors is an integer number (4534920).

Almost surely, 2^120172160 is an apocalyptic number.

120172160 is a gapful number since it is divisible by the number (10) 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 120172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

120172160 is an abundant number, since it is smaller than the sum of its proper divisors (170062720).

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

120172160 is a wasteful number, since it uses less digits than its factorization.

120172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 120172160 is about 10962.3063266814. The cubic root of 120172160 is about 493.4781816368.

The spelling of 120172160 in words is "one hundred twenty million, one hundred seventy-two thousand, one hundred sixty".