  We adopt the Reall-Santos method to obtain the quadratic curvature
corrections to the thermodynamics of Myers-Perry rotating black holes in
diverse dimensions. We consider the corrections in canonical and grand
canonical ensembles, and also for fixed mass and angular momenta. We find that
there exist inevitable divergences for generic rotation parameters so that the
perturbative approach breaks down. We present a simple and universal formula to
determine where these divergences could arise, and argue, using an explicit
example, that these divergences are artefact of perturbation and may not exist
in the full nonlinear theory.
