6726 has 16 divisors (see below), whose sum is σ = 14400. Its totient is φ = 2088.

The previous prime is 6719. The next prime is 6733. The reversal of 6726 is 6276.

6726 = 9² + 10² + ... + 27².

It is an interprime number because it is at equal distance from previous prime (6719) and next prime (6733).

It is a congruent number.

It is an unprimeable number.

6726 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2⁶⁷²⁶ is an apocalyptic number.

6726 is an abundant number, since it is smaller than the sum of its proper divisors (7674).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).

6726 is a wasteful number, since it uses less digits than its factorization.

6726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its digits is 504, while the sum is 21.

The square root of 6726 is about 82.0121942153. The cubic root of 6726 is about 18.8763905529.

Multiplying 6726 by its sum of digits (21), we get a triangular number (141246 = T₅₃₁).

It can be divided in two parts, 6 and 726, that multiplied together give a square (4356 = 66²).

The spelling of 6726 in words is "six thousand, seven hundred twenty-six".