Solving for $k$: Digit Product = $\dfrac{25k}{8}-211$

[anemone]

Find all positive integers $k$ such that the product of the digits of $k$, in the decimal system, equals $\dfrac{25k}{8}-211$.

 

[phymat]

72 and 88

 

[anemone]

Yes, your answer is correct. Do you think you can share with MHB of your solution?