72516582 has 24 divisors (see below), whose sum is σ = 160464096. Its totient is φ = 23657616.

The previous prime is 72516571. The next prime is 72516589. The reversal of 72516582 is 28561527.

It is a happy number.

72516582 is a `hidden beast` number, since 72 + 5 + 1 + 6 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72516589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42013 + ... + 43704.

It is an arithmetic number, because the mean of its divisors is an integer number (6686004).

Almost surely, 2^72516582 is an apocalyptic number.

72516582 is an abundant number, since it is smaller than the sum of its proper divisors (87947514).

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

72516582 is a wasteful number, since it uses less digits than its factorization.

72516582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85772 (or 85769 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 72516582 is about 8515.6668558604. Note that the first 3 decimals coincide. The cubic root of 72516582 is about 417.0093333315.

The spelling of 72516582 in words is "seventy-two million, five hundred sixteen thousand, five hundred eighty-two".