17672 has 12 divisors (see below), whose sum is σ = 33855. Its totient is φ = 8648.

The previous prime is 17669. The next prime is 17681. The reversal of 17672 is 27671.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 8836 = 94^2 + 94^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=94.

It is a Duffinian number.

Its product of digits (588) is a multiple of the sum of its prime divisors (49).

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 353 + ... + 399.

2¹⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

17672 is a deficient number, since it is larger than the sum of its proper divisors (16183).

17672 is an equidigital number, since it uses as much as digits as its factorization.

17672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its digits is 588, while the sum is 23.

The square root of 17672 is about 132.9360748631. The cubic root of 17672 is about 26.0472513534.

Subtracting 17672 from its reverse (27671), we obtain a palindrome (9999).

The spelling of 17672 in words is "seventeen thousand, six hundred seventy-two".