You're right about the numbers you used, but in the problem it's 3^3, 27.
I tried using a calculator to calculate it but none of them worked.
First, 5^2=25 3^3=27
next, n*2^5*6^2*7^3 = n*32*36*343 = 395136n
So if n=25, the equation would yield 9878400 which can't be it since 27 won't divide into that evenly.
If n=27, the equation would yield 1066932 which can't be it since 25 won't divide into that evenly.
And so on and so forth.
I think it might be a typo, but without the answer choices there still must be a correct numerical answer. Can anyone tell me a short cut way to figure it out?