6772 has 6 divisors (see below), whose sum is σ = 11858. Its totient is φ = 3384.

The previous prime is 6763. The next prime is 6779. The reversal of 6772 is 2776.

It can be written as a sum of positive squares in only one way, i.e., 5476 + 1296 = 74^2 + 36^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6779) by changing a digit.

6772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 843 + ... + 850.

2⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

6772 is a deficient number, since it is larger than the sum of its proper divisors (5086).

6772 is a wasteful number, since it uses less digits than its factorization.

6772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1695 counting only the distinct ones).

The product of its digits is 588, while the sum is 22.

The square root of 6772 is about 82.2921624458. The cubic root of 6772 is about 18.9193255290.

The spelling of 6772 in words is "six thousand, seven hundred seventy-two".