5972 has 6 divisors (see below), whose sum is σ = 10458. Its totient is φ = 2984.

The previous prime is 5953. The next prime is 5981. The reversal of 5972 is 2795.

It can be written as a sum of positive squares in only one way, i.e., 5776 + 196 = 76^2 + 14^2 .

It is a magnanimous number.

It is a plaindrome in base 12 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5972.

It is an unprimeable number.

5972 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, 743 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (1743).

It is an amenable number.

5972 is a deficient number, since it is larger than the sum of its proper divisors (4486).

5972 is a wasteful number, since it uses less digits than its factorization.

5972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 5972 is about 77.2787163454. The cubic root of 5972 is about 18.1428955238.

Adding to 5972 its sum of digits (23), we get a palindrome (5995).

It can be divided in two parts, 59 and 72, that added together give a palindrome (131).

The spelling of 5972 in words is "five thousand, nine hundred seventy-two".