10972 has 12 divisors (see below), whose sum is σ = 20776. Its totient is φ = 5040.

The previous prime is 10957. The next prime is 10973. The reversal of 10972 is 27901.

It is an Ulam number.

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973) by changing a digit.

10972 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 3 ways as a sum of consecutive naturals, for example, 54 + ... + 157.

2¹⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

10972 is a deficient number, since it is larger than the sum of its proper divisors (9804).

10972 is a wasteful number, since it uses less digits than its factorization.

10972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10972 is about 104.7473150014. The cubic root of 10972 is about 22.2209147379.

It can be divided in two parts, 109 and 72, that added together give a palindrome (181).

The spelling of 10972 in words is "ten thousand, nine hundred seventy-two".