13768272 has 160 divisors (see below), whose sum is σ = 47020800. Its totient is φ = 3773952.

The previous prime is 13768267. The next prime is 13768291. The reversal of 13768272 is 27286731.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87618 + ... + 87774.

It is an arithmetic number, because the mean of its divisors is an integer number (293880).

Almost surely, 2^13768272 is an apocalyptic number.

13768272 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 13768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510400).

13768272 is an abundant number, since it is smaller than the sum of its proper divisors (33252528).

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

13768272 is a wasteful number, since it uses less digits than its factorization.

13768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 13768272 is about 3710.5622215508. The cubic root of 13768272 is about 239.6770656675.

The spelling of 13768272 in words is "thirteen million, seven hundred sixty-eight thousand, two hundred seventy-two".