72582496 has 48 divisors (see below), whose sum is σ = 164342304. Its totient is φ = 30910464.

The previous prime is 72582467. The next prime is 72582511. The reversal of 72582496 is 69428527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37816 + ... + 39688.

It is an arithmetic number, because the mean of its divisors is an integer number (3423798).

Almost surely, 2^72582496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72582496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82171152).

72582496 is an abundant number, since it is smaller than the sum of its proper divisors (91759808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72582496 is a wasteful number, since it uses less digits than its factorization.

72582496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2055 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 72582496 is about 8519.5361376075. The cubic root of 72582496 is about 417.1356420488.

The spelling of 72582496 in words is "seventy-two million, five hundred eighty-two thousand, four hundred ninety-six".