6823272 has 64 divisors (see below), whose sum is σ = 18247680. Its totient is φ = 2121152.

The previous prime is 6823259. The next prime is 6823351. The reversal of 6823272 is 2723286.

It is an Ulam number.

It is a d-powerful number, because it can be written as 6 + 8² + 2⁸ + 3¹² + 2²¹ + 7² + 2²² .

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25813 + ... + 26075.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 2^6823272 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 6823272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123840).

6823272 is an abundant number, since it is smaller than the sum of its proper divisors (11424408).

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

6823272 is a wasteful number, since it uses less digits than its factorization.

6823272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 6823272 is about 2612.1393530974. The cubic root of 6823272 is about 189.6695271012.

The spelling of 6823272 in words is "six million, eight hundred twenty-three thousand, two hundred seventy-two".