16872 has 32 divisors (see below), whose sum is σ = 45600. Its totient is φ = 5184.

The previous prime is 16871. The next prime is 16879. The reversal of 16872 is 27861.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (1425).

2¹⁶⁸⁷² is an apocalyptic number.

16872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800).

16872 is an abundant number, since it is smaller than the sum of its proper divisors (28728).

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

16872 is a wasteful number, since it uses less digits than its factorization.

16872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 16872 is about 129.8922630490. The cubic root of 16872 is about 25.6481191314.

16872 divided by its sum of digits (24) gives a triangular number (703 = T₃₇).

It can be divided in two parts, 16 and 872, that added together give a palindrome (888).

The spelling of 16872 in words is "sixteen thousand, eight hundred seventy-two".