The present invention relates to a sprayable, thermal and acoustic insulating surfacing based on cork and applicable on façades and walls or ceilings, both indoors and outdoors, consisting of a binding aqueous dispersion including: acrylic copolymer; polyvinyl alcohol; sodium carboxymethyl cellulose; ultrafine talcum powder; wetting agents and surfactants; preservative; terbutryn with 3-iodo-2-propynyl butylcarbamate;and water.