27368 is a composite number whose prime factors contain only the digits 1, 2 and 3. There are 849 such numbers in the range up to 40,000. See Bespoken for Sequences entry and blog post titled Quaternary Numbers.

27368 is an Ulam, congruent, abundant, Zumkeller and pseudoperfect number.

27368 stabilises after 375 generations to a number of still lifes (beehives, blocks and a boat) and two gliders.