Alright, let's work through 6772 times 8172 step by step
6772 × 8172 = 8172 × (6772)
+ 8172 × 2 yielding 16344
+ 8172 × 70 giving us 572040
+ 8172 × 700 that is equal 5720400
+ 8172 × 6000 giving us 49032000

= 55340784
