Benford's law describes the frequency of the initial digits in datasets of numbers where the numbers span several orders of magnitude. It should be visible if you plot country populations or land areas, it can also show up in accounting. In the past Greece's official economic data has shown the greatest divergence from what Benford's law predicts, see here, at least within the EU.
I tried this myself, creating a dataset with country populations from 2017. Then used the following code to plot the data:
plot value counts of initial digits for country populations
The number 1 is around 30% as expected but some numbers are out of sequence, 7 at the end - should be 9, 3 and 4 are also out of order. But the overall shape is roughly as expected.
You can get population data from places like the U.N.