13971272 has 48 divisors (see below), whose sum is σ = 31549500. Its totient is φ = 5776512.

The previous prime is 13971271. The next prime is 13971299. The reversal of 13971272 is 27217931.

13971272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12348196 + 1623076 = 3514^2 + 1274^2 .

It is not an unprimeable number, because it can be changed into a prime (13971271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10754 + ... + 11982.

Almost surely, 2^13971272 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 13971272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15774750).

13971272 is an abundant number, since it is smaller than the sum of its proper divisors (17578228).

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

13971272 is a wasteful number, since it uses less digits than its factorization.

13971272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1267 counting only the distinct ones).

The product of its digits is 5292, while the sum is 32.

The square root of 13971272 is about 3737.8164748955. The cubic root of 13971272 is about 240.8492597980.

The spelling of 13971272 in words is "thirteen million, nine hundred seventy-one thousand, two hundred seventy-two".