6972 has 24 divisors (see below), whose sum is σ = 18816. Its totient is φ = 1968.

The previous prime is 6971. The next prime is 6977. The reversal of 6972 is 2796.

6972 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a d-powerful number, because it can be written as 6² + 7³ + 9⁴ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6971) 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, 43 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

2⁶⁹⁷² is an apocalyptic number.

It is a pronic number, being equal to 83×84.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408).

6972 is an abundant number, since it is smaller than the sum of its proper divisors (11844).

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

6972 is a wasteful number, since it uses less digits than its factorization.

6972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 6972 is about 83.4985029806. The cubic root of 6972 is about 19.1037719952.

Adding to 6972 its sum of digits (24), we get a palindrome (6996).

Subtracting from 6972 its product of digits (756), we obtain a triangular number (6216 = T₁₁₁).

It can be divided in two parts, 69 and 72, that added together give a palindrome (141).

The spelling of 6972 in words is "six thousand, nine hundred seventy-two".