13978272 has 192 divisors, whose sum is σ = 47996928. Its totient is φ = 3456000.

The previous prime is 13978271. The next prime is 13978297. The reversal of 13978272 is 27287931.

It is a self number, because there is not a number n which added to its sum of digits gives 13978272.

It is not an unprimeable number, because it can be changed into a prime (13978271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229122 + ... + 229182.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^13978272 is an apocalyptic number.

13978272 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 13978272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

13978272 is an abundant number, since it is smaller than the sum of its proper divisors (34018656).

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

13978272 is a wasteful number, since it uses less digits than its factorization.

13978272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 13978272 is about 3738.7527331986. The cubic root of 13978272 is about 240.8894771652.

It can be divided in two parts, 1397 and 8272, that added together give a palindrome (9669).

The spelling of 13978272 in words is "thirteen million, nine hundred seventy-eight thousand, two hundred seventy-two".