13972 has 12 divisors (see below), whose sum is σ = 28000. Its totient is φ = 5976.

The previous prime is 13967. The next prime is 13997. The reversal of 13972 is 27931.

13972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13972 is an admirable number.

It is a nialpdrome in base 7 and base 11.

It is a congruent number.

It is an unprimeable number.

13972 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222 + ... + 277.

2¹³⁹⁷² is an apocalyptic number.

It is an amenable number.

13972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14000).

13972 is a wasteful number, since it uses less digits than its factorization.

13972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 13972 is about 118.2032148463. The cubic root of 13972 is about 24.0853443030.

The spelling of 13972 in words is "thirteen thousand, nine hundred seventy-two".