120728160 has 432 divisors, whose sum is σ = 504176400. Its totient is φ = 26191872.

The previous prime is 120728143. The next prime is 120728191. The reversal of 120728160 is 61827021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2046211 + ... + 2046269.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^120728160 is an apocalyptic number.

120728160 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 120728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252088200).

120728160 is an abundant number, since it is smaller than the sum of its proper divisors (383448240).

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

120728160 is a wasteful number, since it uses less digits than its factorization.

120728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120728160 is about 10987.6366885696. The cubic root of 120728160 is about 494.2380686888.

The spelling of 120728160 in words is "one hundred twenty million, seven hundred twenty-eight thousand, one hundred sixty".