: means “takes an argument”, not “mandatory argument”. That is, an option character not followed by : means a flag-style option (no argument), whereas an option character followed by : means an option with an argument.
Thus, you probably want
getopts "a:b:c:d:e:f:" opt
If you want “mandatory” options (a bit of an oxymoron), you can check after argument parsing that your mandatory option values were all set.