120357972 has 72 divisors (see below), whose sum is σ = 351152256. Its totient is φ = 34046784.

The previous prime is 120357971. The next prime is 120357973. The reversal of 120357972 is 279753021.

120357972 is a `hidden beast` number, since 12 + 0 + 3 + 579 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (120357971) and next prime (120357973).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120357971) 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 23 ways as a sum of consecutive naturals, for example, 23638 + ... + 28274.

Almost surely, 2^120357972 is an apocalyptic number.

120357972 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 120357972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175576128).

120357972 is an abundant number, since it is smaller than the sum of its proper divisors (230794284).

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

120357972 is a wasteful number, since it uses less digits than its factorization.

120357972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 120357972 is about 10970.7780945565. The cubic root of 120357972 is about 493.7323917878.

The spelling of 120357972 in words is "one hundred twenty million, three hundred fifty-seven thousand, nine hundred seventy-two".