6826272 has 48 divisors (see below), whose sum is σ = 18057312. Its totient is φ = 2257920.

The previous prime is 6826271. The next prime is 6826289. The reversal of 6826272 is 2726286.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6826271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20088 + ... + 20424.

It is an arithmetic number, because the mean of its divisors is an integer number (376194).

Almost surely, 2^6826272 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 6826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028656).

6826272 is an abundant number, since it is smaller than the sum of its proper divisors (11231040).

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

6826272 is a wasteful number, since it uses less digits than its factorization.

6826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 6826272 is about 2612.7135319434. The cubic root of 6826272 is about 189.6973204731.

The spelling of 6826272 in words is "six million, eight hundred twenty-six thousand, two hundred seventy-two".