The negation of the statement

“72 is divisible by 2 and 3” is

If the statement is p then its negation is ~p, it means if p is true then ~p is false and vice versa.

p: 72 is divisible by 2 and 3

q: 72 is divisible by 2

~q: 72 is not divisible by 2

r: 72 is divisible by 3

~r: 72 is not divisible by 3

Now,

~(qᴧr)=~q V ~r

Hence, 72 is not divisible by 2 or 72 is not divisible by 3.