Nothing would happen to a human that stepped on a cockroach, but the cockroach would probably die. This is because this insect is small and could not withstand the weight of a human being stepping on it.
There are different types of cockroaches. They can be differentiated by size, color and area of origin. These insects inhabit warm, damp places that offer an abundance of food. They are omnivores that can eat anything from fruit to hair. Without food they can survive for days, but depriving them of water kills them in days. Keeping all surfaces clean and covering foodstuffs can help avert an infestation.