27352 is a member of OEIS A172213: number of ways to place 4 non-attacking knights on a 4 X n board, here n=9. Initial members are:

1, 16, 84, 412, 1416, 3640, 7928, 15384, 27352, 45432, 71480, 107608, 156184, 219832, 301432, 404120, 531288, 686584, 873912, 1097432, 1361560, 1670968, 2030584, 2445592, 2921432

OEIS comments:

Explicit formula (Vaclav Kotesovec, 26.1.2010):

a(n) = 8*(4*n^4-36*n^3+170*n^2-450*n+537)/3, n>=6

G.f.: -x*(16*x^9-20*x^8-40*x^7+172*x^6-81*x^5+41*x^4+142*x^3+14*x^2+11*x+1)/(x-1)^5

[From Vaclav Kotesovec, Mar 25 2010]

27352 is a happy, untouchable, abundant, Zumkeller and pseudoperfect number.

27352 stabilises after about 20 generations to a loaf and a beehive.