Allstate, the biggest publicly traded US home and auto insurer, posted its largest profit since 2007. Net income rose to $766 million, or $1.53 a share, from $524 million, or 98 cents, a year earlier, as catastrophe costs fell and policy sales rose. It booked $259 million in disaster costs, compared with $333 million a year earlier. Sales rose after it bought Esurance and raised some premiums.