and what about that Higgs number 82944

 Well...

144 x 144 = 20736 and 288 x 288 = 82944 so their diff is 62208 and / 2 = 31104 and added to 51840 = 82944 plus 3456 = 86400

Sweet 16 ... 82944 / 16 = 5184

This means... 82944 / 192 = 432

and ...................82944 / 162 = 512