13521872 has 80 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 5184000.

The previous prime is 13521829. The next prime is 13521881. The reversal of 13521872 is 27812531.

13521872 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13521872 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53747 + ... + 53997.

Almost surely, 2^13521872 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 13521872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

13521872 is an abundant number, since it is smaller than the sum of its proper divisors (19726000).

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

13521872 is a wasteful number, since it uses less digits than its factorization.

13521872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 13521872 is about 3677.2098118002. The cubic root of 13521872 is about 238.2386796558.

The spelling of 13521872 in words is "thirteen million, five hundred twenty-one thousand, eight hundred seventy-two".