17872 has 10 divisors (see below), whose sum is σ = 34658. Its totient is φ = 8928.

The previous prime is 17863. The next prime is 17881. The reversal of 17872 is 27871.

It is a happy number.

17872 is a mountain number because its digits go up and then down.

It is an interprime number because it is at equal distance from previous prime (17863) and next prime (17881).

It can be written as a sum of positive squares in only one way, i.e., 10816 + 7056 = 104^2 + 84^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 543 + ... + 574.

2¹⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

17872 is a deficient number, since it is larger than the sum of its proper divisors (16786).

17872 is a wasteful number, since it uses less digits than its factorization.

17872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

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

The square root of 17872 is about 133.6861997365. The cubic root of 17872 is about 26.1451448297.

Subtracting 17872 from its reverse (27871), we obtain a palindrome (9999).

The spelling of 17872 in words is "seventeen thousand, eight hundred seventy-two".