  In this paper, we study the thermodynamic properties of the noncommutative
quantum Hall effect (NCQHE) with anomalous magnetic moment (AMM) for both
relativistic and nonrelativistic cases in the high temperatures regime. Thus,
we use the canonical ensemble for a set of $N$-particles in contact with a
thermal bath. Next, we explicitly determine the thermodynamic properties of our
interest, namely: the Helmholtz free energy, the entropy, the mean energy, and
the heat capacity. In order to perform the calculations, we work with the
Euler-MacLaurin formula to construct the partition function of the system. In
that way, we plotted the graphs of thermodynamic properties as a function of
temperature for six different values of the magnetic field and of the NC
parameters. As a result, we note that the Helmholtz free energy decreases with
the temperature, increases with the NC parameters, and can decrease or increase
for certain values of the magnetic field, white that the entropy increases with
the temperature, decreases with the NC parameters, and can decrease or increase
for certain values of the magnetic field. Besides, the mean energy increases
linearly with the temperature and its values for the relativistic case are
twice of the nonrelativistic case, consequently, the heat capacity for the
relativistic case is twice of the nonrelativistic case, where both are
constants, and therefore, satisfying the so-called Dulong-Petit law. Finally,
we also verify that there is no influence of the AMM on the thermodynamic
properties of the system.
