120387072 has 80 divisors (see below), whose sum is σ = 345446640. Its totient is φ = 37036032.

The previous prime is 120387061. The next prime is 120387077. The reversal of 120387072 is 270783021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120387077) 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, 16954 + ... + 22982.

It is an arithmetic number, because the mean of its divisors is an integer number (4318083).

Almost surely, 2^120387072 is an apocalyptic number.

120387072 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 120387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172723320).

120387072 is an abundant number, since it is smaller than the sum of its proper divisors (225059568).

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

120387072 is an equidigital number, since it uses as much as digits as its factorization.

120387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 120387072 is about 10972.1042649074. The cubic root of 120387072 is about 493.7721799148.

It can be divided in two parts, 12038 and 7072, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 120387072 in words is "one hundred twenty million, three hundred eighty-seven thousand, seventy-two".