13727232 has 100 divisors (see below), whose sum is σ = 41095956. Its totient is φ = 4561920.

The previous prime is 13727227. The next prime is 13727249. The reversal of 13727232 is 23272731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13727196 and 13727205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41307 + ... + 41637.

Almost surely, 2^13727232 is an apocalyptic number.

13727232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547978).

13727232 is an abundant number, since it is smaller than the sum of its proper divisors (27368724).

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

13727232 is an frugal number, since it uses more digits than its factorization.

13727232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 13727232 is about 3705.0279351174. The cubic root of 13727232 is about 239.4386882280.

Adding to 13727232 its reverse (23272731), we get a palindrome (36999963).

The spelling of 13727232 in words is "thirteen million, seven hundred twenty-seven thousand, two hundred thirty-two".