  We prove that every right-angled Coxeter group (RACG) is profinitely rigid
amongst all Coxeter groups. On the other hand we exhibit RACGs which have
infinite profinite genus amongst all finitely generated residually finite
groups. We also establish profinite rigidity results for graph products of
finite groups. Along the way we prove that the Higman-Thompson groups $V_{n}$
are generated by $4$ involutions, generalising a classical result of Higman for
Thompson's group $V$.
