120159072 has 192 divisors, whose sum is σ = 391910400. Its totient is φ = 35504640.

The previous prime is 120159047. The next prime is 120159089. The reversal of 120159072 is 270951021.

120159072 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 590 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446554 + ... + 446822.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^120159072 is an apocalyptic number.

120159072 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 120159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

120159072 is an abundant number, since it is smaller than the sum of its proper divisors (271751328).

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

120159072 is a wasteful number, since it uses less digits than its factorization.

120159072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 120159072 is about 10961.7093557529. The cubic root of 120159072 is about 493.4602660150.

The spelling of 120159072 in words is "one hundred twenty million, one hundred fifty-nine thousand, seventy-two".