13638272 has 32 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 6671104.

The previous prime is 13638269. The next prime is 13638277. The reversal of 13638272 is 27283631.

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 not an unprimeable number, because it can be changed into a prime (13638277) 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, 4883 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^13638272 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 13638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

13638272 is an abundant number, since it is smaller than the sum of its proper divisors (14122048).

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

13638272 is an equidigital number, since it uses as much as digits as its factorization.

13638272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2316 counting only the distinct ones).

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

The square root of 13638272 is about 3693.0031139981. The cubic root of 13638272 is about 238.9203354873.

The spelling of 13638272 in words is "thirteen million, six hundred thirty-eight thousand, two hundred seventy-two".