Give the king
The Psalm as a whole forms a complete vision of Messiah's kingdom so far as the Old Testament revelation extended. All David's prayers will find their fruition in the kingdom (Psalms 72:20); (2 Samuel 23:1-4).
Verse 1 (Psalms 72:1) refers to the investiture of the King's Son with the kingdom, of which investiture the formal description is given in (Daniel 7:13); (Daniel 7:14); (Revelation 5:5-10); (Psalms 72:2-7); (Psalms 72:12-14) give the character of the kingdom.
Compare (Isaiah 11:3-9).
The emphatic word is righteousness. The sermon on the Mount describes the kingdom of righteousness. Verses 8-11 (Psalms 72:8-11) speak of the universality of the kingdom. Verse 16 (Psalms 72:16) hints at the means by which universal blessing is to be brought in. Converted Israel will be the "handful of corn" (Amos 9:9) as the King Himself in death and resurrection was the single grain, the "corn of wheat" (John 12:24) "To the Jew first" is the order alike of Church and kingdom. (Romans 1:16); (Acts 13:46); (Acts 15:16); (Acts 15:17). It is through restored Israel that the kingdom is to be extended over the earth. (Zechariah 8:13); (Zechariah 8:20-23).
See Psalm 89, next in order of the Messianic Psalms.