You are totally right, Neil. This is a bug. I tried Properties, Options, Information before my post and searched on the net. None of them gives something helpful.

I think I once reported a bug, but don't remember how to do this. Can you tell me?

Thanks, Nicolay. This works indeed. I could not find that anywhere. Is it an undocumented feature? If you write:

TableForm[{#,func[#]}&/@globFunc["Methods"]]

you get all the "properties" and you can see that the property "MethodInformation" needs more arguments and that the properties "Evaluate" and "GetPolynomial" do not work like this.

But I get the information which I really need: "InterpolationOrder", "InterpolationMethod", "Domain", "Coordinates", "ValuesOnGrid".

This helps.

Block[{xs = {-2, 0, 1, 3, 4, 7}, ys = {0, 1, 3, 7, 2, -1}, data, xS, 
   xE, func, order = Automatic, method = "Spline"},
  xS = Min[xs]; xE = Max[xs];
  data = Thread[{xs, ys}];
  func = Interpolation[data, InterpolationOrder -> order, 
    Method -> method];
  Print[Column[{
     {xS, xE},
     data,
     {order, method},
     func,
     Plot[func[x], {x, xS, xE}, 
      Epilog -> {PointSize[Medium], Point[data]}, 
      AxesOrigin -> {0, 0}, ImageSize -> Small]
     }]];
  Print[Grid[{#, func[#]} & /@ globFunc["Methods"], 
    Alignment -> {{Right, Left}, Top}]]
  ];

Thanks, Neil. This works, but is pretty tedious. I think Nicolay's method is much clearer.