6682272 has 48 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 2178560.

The previous prime is 6682253. The next prime is 6682279. The reversal of 6682272 is 2722866.

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 (6682279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3772 + ... + 5252.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^6682272 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 6682272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

6682272 is an abundant number, since it is smaller than the sum of its proper divisors (11244000).

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

6682272 is a wasteful number, since it uses less digits than its factorization.

6682272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1533 counting only the distinct ones).

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

The square root of 6682272 is about 2585.0090908931. The cubic root of 6682272 is about 188.3539431505.

It can be divided in two parts, 66822 and 72, that multiplied together give a palindrome (4811184).

The spelling of 6682272 in words is "six million, six hundred eighty-two thousand, two hundred seventy-two".