13672832 has 32 divisors (see below), whose sum is σ = 27984720. Its totient is φ = 6649344.

The previous prime is 13672831. The next prime is 13672843. The reversal of 13672832 is 23827631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13672831) by changing a digit.

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, 3293 + ... + 6179.

Almost surely, 2^13672832 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 13672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992360).

13672832 is an abundant number, since it is smaller than the sum of its proper divisors (14311888).

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

13672832 is an equidigital number, since it uses as much as digits as its factorization.

13672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2926 counting only the distinct ones).

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

The square root of 13672832 is about 3697.6792721922. The cubic root of 13672832 is about 239.1219769168.

The spelling of 13672832 in words is "thirteen million, six hundred seventy-two thousand, eight hundred thirty-two".