13727296 has 112 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 5529600.

The previous prime is 13727293. The next prime is 13727299. The reversal of 13727296 is 69272731.

It is an interprime number because it is at equal distance from previous prime (13727293) and next prime (13727299).

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (31752) is a multiple of the sum of its prime divisors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370990 + ... + 371026.

Almost surely, 2^13727296 is an apocalyptic number.

13727296 is a gapful number since it is divisible by the number (16) 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 13727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

13727296 is an abundant number, since it is smaller than the sum of its proper divisors (19630016).

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

13727296 is a wasteful number, since it uses less digits than its factorization.

13727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 13727296 is about 3705.0365720192. The cubic root of 13727296 is about 239.4390603363.

It can be divided in two parts, 1372 and 7296, that added together give a palindrome (8668).

The spelling of 13727296 in words is "thirteen million, seven hundred twenty-seven thousand, two hundred ninety-six".