6829272 has 56 divisors (see below), whose sum is σ = 19214940. Its totient is φ = 2274480.

The previous prime is 6829271. The next prime is 6829279. The reversal of 6829272 is 2729286.

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

It is a d-powerful number, because it can be written as 6⁸ + 8 + 2¹⁷ + 9³ + 2²¹ + 7⁷ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829271) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5247 + ... + 6417.

Almost surely, 2^6829272 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 6829272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9607470).

6829272 is an abundant number, since it is smaller than the sum of its proper divisors (12385668).

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

6829272 is a wasteful number, since it uses less digits than its factorization.

6829272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1176 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 6829272 is about 2613.2875846336. The cubic root of 6829272 is about 189.7251057032.

The spelling of 6829272 in words is "six million, eight hundred twenty-nine thousand, two hundred seventy-two".