13481272 has 64 divisors (see below), whose sum is σ = 31320000. Its totient is φ = 5437824.

The previous prime is 13481269. The next prime is 13481287. The reversal of 13481272 is 27218431.

The cubic root of 13481272 is 238.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13481272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793008 + ... + 793024.

It is an arithmetic number, because the mean of its divisors is an integer number (489375).

Almost surely, 2^13481272 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 13481272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660000).

13481272 is an abundant number, since it is smaller than the sum of its proper divisors (17838728).

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

13481272 is an frugal number, since it uses more digits than its factorization.

13481272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 26 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 13481272 is about 3671.6851716889.

It can be divided in two parts, 134 and 81272, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 13481272 in words is "thirteen million, four hundred eighty-one thousand, two hundred seventy-two".