Let the value of \(p\), such that the sum of the squares of the roots of the quadratic equation
\[
x^2+(7-p)x+4=p
\]
has the least value, be \(\alpha\), and the corresponding roots be \(\beta\) and \(\gamma\). Then
\(\alpha^3+\beta^3+\gamma^3\) equals \underline{\hspace{2cm}.}