120732 has 12 divisors (see below), whose sum is σ = 281736. Its totient is φ = 40240.

The previous prime is 120721. The next prime is 120737. The reversal of 120732 is 237021.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120732.

It is not an unprimeable number, because it can be changed into a prime (120737) by changing a digit.

120732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 5019 + ... + 5042.

It is an arithmetic number, because the mean of its divisors is an integer number (23478).

2¹²⁰⁷³² is an apocalyptic number.

120732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120732 is an abundant number, since it is smaller than the sum of its proper divisors (161004).

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

120732 is a wasteful number, since it uses less digits than its factorization.

120732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 120732 is about 347.4651061618. The cubic root of 120732 is about 49.4243308709.

Adding to 120732 its reverse (237021), we get a palindrome (357753).

The spelling of 120732 in words is "one hundred twenty thousand, seven hundred thirty-two".