120105072 has 80 divisors (see below), whose sum is σ = 353206560. Its totient is φ = 39052800.

The previous prime is 120104993. The next prime is 120105079. The reversal of 120105072 is 270501021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120105079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14322 + ... + 21102.

It is an arithmetic number, because the mean of its divisors is an integer number (4415082).

Almost surely, 2^120105072 is an apocalyptic number.

120105072 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 120105072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176603280).

120105072 is an abundant number, since it is smaller than the sum of its proper divisors (233101488).

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

120105072 is a wasteful number, since it uses less digits than its factorization.

120105072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120105072 is about 10959.2459594627. The cubic root of 120105072 is about 493.3863338886.

Adding to 120105072 its reverse (270501021), we get a palindrome (390606093).

The spelling of 120105072 in words is "one hundred twenty million, one hundred five thousand, seventy-two".