It is how we in the Netherlands obtain such an enormous trade surplus: we export much more than we import. This generates higher operating profits for business and also increases tax revenues for the Dutch State. You could say that the euro always gives a little boost not only to the Dutch economy, but also to the Dutch treasury.
For a country like Italy, where productivity growth is lower, roughly the opposite applies. At the risk of oversimplification: the absence of an exchange rate between euro area countries is a benefit to the stronger economies, while it is a relative burden to the weaker economies. That is why the stronger and the weaker economies have a tendency to diverge.