120364272 has 160 divisors (see below), whose sum is σ = 402831360. Its totient is φ = 33696000.

The previous prime is 120364249. The next prime is 120364273. The reversal of 120364272 is 272463021.

120364272 is a `hidden beast` number, since 12 + 0 + 3 + 642 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120364273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159897 + ... + 160647.

It is an arithmetic number, because the mean of its divisors is an integer number (2517696).

Almost surely, 2^120364272 is an apocalyptic number.

120364272 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 120364272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201415680).

120364272 is an abundant number, since it is smaller than the sum of its proper divisors (282467088).

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

120364272 is a wasteful number, since it uses less digits than its factorization.

120364272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 120364272 is about 10971.0652171975. The cubic root of 120364272 is about 493.7410062561.

The spelling of 120364272 in words is "one hundred twenty million, three hundred sixty-four thousand, two hundred seventy-two".