13072 has 20 divisors (see below), whose sum is σ = 27280. Its totient is φ = 6048.

The previous prime is 13063. The next prime is 13093. The reversal of 13072 is 27031.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (1364).

2¹³⁰⁷² 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 13072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640).

13072 is an abundant number, since it is smaller than the sum of its proper divisors (14208).

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

13072 is a wasteful number, since it uses less digits than its factorization.

13072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13072 is about 114.3328474237. The cubic root of 13072 is about 23.5566762385.

It can be divided in two parts, 130 and 72, that added together give a palindrome (202).

The spelling of 13072 in words is "thirteen thousand, seventy-two".