zero or no zero / Estonian mobile Nos.
 

Since some weeks I use my airBalticcard which is not bad.

All where I found these numbers written they were listed with the country prefix +372(5....).
How are these numbers used in Estonia? Do they come with a zero 05.... or do they not use a zero as first digit as for example spanish mobile numbers?

I am almost sure you do not need to put the zero. Same goes for landline numbers in this country (beginning with 6)