  Respecting the angular momentum conservation of torque-free systems, it is
natural to consider rotating solutions of massive objects. Besides that,
motivated by the realistic astrophysical black holes that rotate, we use the
Newman-Janis formalism to construct a regular rotating black hole. We start
with a nonlinearly charged regular static black hole in the framework of the
standard general relativity and then obtain the associated rotating solution
through such a formalism. We investigate the geometrical properties of the
metric by studying the boundary of ergosphere. We also analyze thermodynamic
properties of the solution in AdS spacetime and examine thermal stability and
possible phase transition. In addition, we perturb the black hole by using of a
real massless scalar field as a probe to investigate its dynamic stability. We
obtain an analytic expression for the real and imaginary parts of the
quasinormal frequencies. Finally, we look for a connection between the
quasinormal frequencies and the properties of the photon sphere in the eikonal
limit.
