131072 has 18 divisors (see below), whose sum is σ = 262143. Its totient is φ = 65536.

The previous prime is 131071. The next prime is 131101. The reversal of 131072 is 270131.

It is a perfect power (a 17-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)¹⁷.

131072 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 65536 = 256^2 + 256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=256.

It is a Duffinian number.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (131071) by changing a digit.

In principle, a polygon with 131072 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

131072 is a Friedman number, since it can be written as 2^(3+7*(1+1+0)), using all its digits and the basic arithmetic operations.

2¹³¹⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131072

131072 is a deficient number, since it is larger than the sum of its proper divisors (131071).

131072 is an frugal number, since it uses more digits than its factorization.

131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 131072 is about 362.0386719675. The cubic root of 131072 is about 50.7968336630.

The spelling of 131072 in words is "one hundred thirty-one thousand, seventy-two".