6834272 has 36 divisors (see below), whose sum is σ = 14312340. Its totient is φ = 3211776.

The previous prime is 6834271. The next prime is 6834277. The reversal of 6834272 is 2724386.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 6⁷ + 8⁶ + 3⁶ + 4¹⁰ + 2²⁰ + 7 + 2²² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6834271) 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 5 ways as a sum of consecutive naturals, for example, 8879 + ... + 9617.

It is an arithmetic number, because the mean of its divisors is an integer number (397565).

Almost surely, 2^6834272 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 6834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156170).

6834272 is an abundant number, since it is smaller than the sum of its proper divisors (7478068).

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

6834272 is a wasteful number, since it uses less digits than its factorization.

6834272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 758 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 6834272 is about 2614.2440589968. The cubic root of 6834272 is about 189.7713963431.

The spelling of 6834272 in words is "six million, eight hundred thirty-four thousand, two hundred seventy-two".