13832672 has 48 divisors (see below), whose sum is σ = 31983840. Its totient is φ = 5764608.

The previous prime is 13832641. The next prime is 13832701. The reversal of 13832672 is 27623831.

It is a happy number.

13832672 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7454 + ... + 9122.

It is an arithmetic number, because the mean of its divisors is an integer number (666330).

Almost surely, 2^13832672 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 13832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991920).

13832672 is an abundant number, since it is smaller than the sum of its proper divisors (18151168).

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

13832672 is a wasteful number, since it uses less digits than its factorization.

13832672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1715 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 13832672 is about 3719.2300278418. The cubic root of 13832672 is about 240.0501746949.

The spelling of 13832672 in words is "thirteen million, eight hundred thirty-two thousand, six hundred seventy-two".