9972 has 18 divisors (see below), whose sum is σ = 25298. Its totient is φ = 3312.

The previous prime is 9967. The next prime is 9973. The reversal of 9972 is 2799.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 2916 = 84^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973) by changing a digit.

9972 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 5 ways as a sum of consecutive naturals, for example, 103 + ... + 174.

It is an amenable number.

9972 is an abundant number, since it is smaller than the sum of its proper divisors (15326).

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

9972 is a wasteful number, since it uses less digits than its factorization.

9972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 9972 is about 99.8599018626. The cubic root of 9972 is about 21.5242200464.

Adding to 9972 its sum of digits (27), we get a palindrome (9999).

It can be divided in two parts, 997 and 2, that added together give a palindrome (999).

The spelling of 9972 in words is "nine thousand, nine hundred seventy-two".