6838272 has 144 divisors (see below), whose sum is σ = 22997520. Its totient is φ = 1916928.

The previous prime is 6838261. The next prime is 6838343. The reversal of 6838272 is 2728386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128998 + ... + 129050.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^6838272 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 6838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498760).

6838272 is an abundant number, since it is smaller than the sum of its proper divisors (16159248).

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

6838272 is a wasteful number, since it uses less digits than its factorization.

6838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6838272 is about 2615.0089866002. The cubic root of 6838272 is about 189.8084126017.

6838272 divided by its product of digits (32256) gives a palindrome (212).

The spelling of 6838272 in words is "six million, eight hundred thirty-eight thousand, two hundred seventy-two".