Number Series - General Questions

Look at this series and find the number that does not belong: 1, 8, 27, 67, 125, 216, 343

Look at this series and find the number that does not belong: 6, 15, 20, 30, 42, 56, 72

Look at this series: 4, 8, 13, 19, 26, 34, … What number should come next?

Look at this series: 3, 83, 7, 81, 11, 79, … What number should come next?

Look at this series: 2, 5, 14, 41, 122, 365, … What number should come next?