27359 is a number with no repeating digits, whose additive digital and multiplicative digital roots are different from any of its digits and also from each other, here 8 and 0 respectively. There are 3386 such numbers in the range up to 40,000. See Bespoken for Sequences entry.

27359 is a cyclic and Duffinian number.

27359 is is the second of a pair of consecutive numbers with the property that it does not contain the digit 0 and that has two distinct prime factors such that n + SOD(n) and n + POD(n) are both numbers with two distinct prime factors where SOD = Sum of Digits and POD = Product of Digits. Here the results are 27385 = 5 * 5477 and 29249 = 11 * 2659 respectively. See Bespoken for Sequences entry.

27359 stabilises after about 27 generations to a single block.