Solve this

Exchange the tens and units digit of the numbers, you'll get

$71,62,73,05,56 \\ \Updownarrow \\ 17,26,37,50,65$

We see that the pattern from $17$ onwards is

$17+{\color{#3D99F6} 9}=26+{\color{#3D99F6} 11}=37+{\color{#3D99F6} 13}=50+{\color{#3D99F6} 15}=65$

Hence the immediate next number would be

$65+{\color{#3D99F6} 17} = 82$

Reversing back the digits of $82$ to fit the original order, we get

$71,62,73,05,56, \boxed{{\color{#D61F06} 28}}$