Unless you consider the economy bouncing up and down a little (or a lot), then no. The economy should not randomally grow unless it is recovering from financial crash or likewise.
Well, Bhutan is the country with the greatest economic growth, but China, India and Russia are the biggest countries fitting to your question, so here's the complete list on the provided site:
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Well, the population affects the economic growth because there are more people buying more things and so more people selling things which means more money for companies all over the country.