  Recently A.Galajinsky has suggested the N=1 supersymmetric extension of Euler
top and made a few interesting observations on its properties [arXiv:2111.06083
[hep-th]]. In this paper we use the formulation of the Euler top as a system on
complex projective plane, playing the role of phase space, i.e. as a
one-dimensional mechanical system.
  Then we suggest the supersymmetrization scheme of the generic one-dimensional
systems with positive Hamiltonian which yields a priori integrable family of
N=2k supersymmetric Hamiltonians parameterized by N/2 arbitrary real functions.
