Nearly 4,000 Massachusetts borrowers have received some kind of housing-debt relief this year as part of a national mortgage settlement involving five major lenders, with each homeowner getting an average of $67,457 in assistance, according to federal report released Monday.

Massachusetts borrowers received $266 million of the more than $21.92 billion disbursed nationally as part of a settlement over improper foreclosure proceedings, the Office of Mortgage Settlement Oversight said in its preliminary assessment of the program.