Is there a theoretical interesting in another dimensionless constants?

Since my initial study in QM I have found a lot of quotations about the constant of value "1/137", the fine structure constant. Generally the author gives an introduction about it and says the curiosity that physicists have in knowing "why this value".

Now, there is others dimensionless constants, like the ratio of proton/electron rest mass, but i didn’t see an general interesting in this dimensionless constant as there is with respect to the fine structure.

Is there a reason to special to focus on the fine structure constant?

Maybe because Feynman and Fermi were excited specifically about the structure constant, the physics after them was too?
Maybe actually there is equal searching for answers for any other dimensionless constant, but that i don’t know. Please let me know.