Is there are any official data about it or some information to approximate the number?
In the Battle of Endor, Star Destroyers deploy wings of 72 TIE starfighters, benefiting the war effort, but rebel fighters nonetheless exploit vulnerabilities in the Destroyers' shield generators and exposed bridges. Imperial I-class Star Destroyers prove far less effective against fleets of skilled rebel pilots than their Venator-class predecessors were against droid starfighters.
Moving down the canon scale, we learn in the Essential Guide to Vehicles and Vessels factbook that the Imperial I-Class Star Destroyer's fighters are typically arranged into smaller squadrons. The vessel also fielded a range of other support craft.
A full wing of seventy-two TIE fighters (six squadrons of twelve ships each) is standard aboard each Destroyer. As of the Battle of Yavin, a standard Star Destroyer maintained four squadrons of standard TIE/lns, one squadron of TIE interceptors, and one squadron of TIE bombers. (Lower-priority vessels have a squadron of TIE/gts.) By the time of the Battle of Endor, an additional TIE interceptor squadron had replaced one of the TIE/ln squadrons.
Support ships, all maintained aboard the Destroyer, include eight Lambda-class shuffles, fifteen stormtrooper transports, five assault gunboats, and a variable number of Skipray blastboats and Gamma-class assault shuffles.
And from the same source we learn that Vader's Super Star Destroyer, the Executor had two full wings of TIE Fighters, a total of 144.
Bristling with over a thousand weapons, including tur- bolasers, concussion-missile tubes, tractor-beam projectors, and ion cannons, Super Star Destroyers wielded awesome firepower. They held two full wings of TIE fighters, for 144 ships, as well as 200 other combat and support ships.
Though smaller and less durable than the Imperial II-class Star Destroyer, the Victory II-class ships are still incredibly powerful and often operate in pairs. Since the ship lacks a large TIE fighter complement, the Victory II-class Star Destroyer is often paired with escort ships or fleet carriers that have a large number of starfighters that can be quickly deployed.
Carried Craft: 24 TIE fighters