120195072 has 72 divisors (see below), whose sum is σ = 347198670. Its totient is φ = 40058880.

The previous prime is 120194983. The next prime is 120195073. The reversal of 120195072 is 270591021.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 43877376 = 8736^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (120195073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15172 + ... + 21692.

Almost surely, 2^120195072 is an apocalyptic number.

120195072 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 120195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173599335).

120195072 is an abundant number, since it is smaller than the sum of its proper divisors (227003598).

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

120195072 is an equidigital number, since it uses as much as digits as its factorization.

120195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6526 counting only the distinct ones).

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

The square root of 120195072 is about 10963.3513124409. The cubic root of 120195072 is about 493.5095417944.

The spelling of 120195072 in words is "one hundred twenty million, one hundred ninety-five thousand, seventy-two".