18772 has 18 divisors (see below), whose sum is σ = 37338. Its totient is φ = 8208.

The previous prime is 18757. The next prime is 18773. The reversal of 18772 is 27781.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 5776 = 114^2 + 76^2 .

It is an Ulam number.

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18773) by changing a digit.

18772 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, 979 + ... + 997.

2¹⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

18772 is a deficient number, since it is larger than the sum of its proper divisors (18566).

18772 is a wasteful number, since it uses less digits than its factorization.

18772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its digits is 784, while the sum is 25.

The square root of 18772 is about 137.0109484676. The cubic root of 18772 is about 26.5768506077.

Subtracting 18772 from its reverse (27781), we obtain a palindrome (9009).

The spelling of 18772 in words is "eighteen thousand, seven hundred seventy-two".