7972 has 6 divisors (see below), whose sum is σ = 13958. Its totient is φ = 3984.

The previous prime is 7963. The next prime is 7993. The reversal of 7972 is 2797.

It can be written as a sum of positive squares in only one way, i.e., 7396 + 576 = 86^2 + 24^2 .

It is a plaindrome in base 15.

It is an unprimeable number.

7972 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, 993 + ... + 1000.

2⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

7972 is a deficient number, since it is larger than the sum of its proper divisors (5986).

7972 is a wasteful number, since it uses less digits than its factorization.

7972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1995 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 7972 is about 89.2860571422. The cubic root of 7972 is about 19.9766393914.

Adding to 7972 its sum of digits (25), we get a palindrome (7997).

It can be divided in two parts, 79 and 72, that added together give a palindrome (151).

The spelling of 7972 in words is "seven thousand, nine hundred seventy-two".