120736 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 47040.

The previous prime is 120721. The next prime is 120737. The reversal of 120736 is 637021.

120736 = 21³ + 22³ + ... + 28³.

It is a nialpdrome in base 14.

It is a congruent number.

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

120736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10971 + ... + 10981.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹²⁰⁷³⁶ is an apocalyptic number.

120736 is a gapful number since it is divisible by the number (16) 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 120736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

120736 is an abundant number, since it is smaller than the sum of its proper divisors (181664).

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

120736 is an equidigital number, since it uses as much as digits as its factorization.

120736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 120736 is about 347.4708620877. The cubic root of 120736 is about 49.4248766946.

Adding to 120736 its reverse (637021), we get a palindrome (757757).

The spelling of 120736 in words is "one hundred twenty thousand, seven hundred thirty-six".