  The P\'{o}lya group of an algebraic number field is a particular subgroup of
the ideal class group. This article provides an overview of recent results on
P\'{o}lya groups of number fields, their connection with the ring of
integer-valued polynomials and touches upon some results on number fields
having large P\'{o}lya groups. For the sake of completeness, we have included
the proof of Zantema's theorem which laid the foundation to determine the
P\'{o}lya groups of many finite Galois extensions over $\mathbb{Q}$. Towards
the end of the article, we provide an elementary proof of a weaker version of a
recent result of Cherubini et al.
