120843072 has 336 divisors, whose sum is σ = 439350912. Its totient is φ = 30965760.

The previous prime is 120843007. The next prime is 120843077. The reversal of 120843072 is 270348021.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120843077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2810283 + ... + 2810325.

It is an arithmetic number, because the mean of its divisors is an integer number (1307592).

Almost surely, 2^120843072 is an apocalyptic number.

120843072 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 120843072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

120843072 is an abundant number, since it is smaller than the sum of its proper divisors (318507840).

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

120843072 is a wasteful number, since it uses less digits than its factorization.

120843072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120843072 is about 10992.8645948179. The cubic root of 120843072 is about 494.3948282363.

The spelling of 120843072 in words is "one hundred twenty million, eight hundred forty-three thousand, seventy-two".