  A nonlinear susceptibilities (the third derivative of a magnetization $m_S$
by a magnetic field $h$ ) of the $S$=1/2 ferromagnetic Heisenberg chain and the
classical Heisenberg chain are calculated at low temperatures $T.$ In both
chains the nonlinear susceptibilities diverge as $T^{-6}$ and a linear
susceptibilities diverge as $T^{-2}.$ The arbitrary spin $S$ Heisenberg
ferromagnet $[$ ${\cal H} = \sum_{i=1}^{N} \{ - J{\bf S}_{i} {\bf S}_{i+1} -
(h/S) S_{i}^{z} \}$ $(J>0),$ $]$ has a scaling relation between $m_S,$ $h$ and
$T:$ $m_S(T,h) = F( S^2 Jh/T^2).$ The scaling function
$F(x)$=(2$x$/3)-(44$x^{3}$/135) + O($x^{5}$) is common to all values of spin
$S.$
