72582113 has 8 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 72046480.

The previous prime is 72582091. The next prime is 72582121. The reversal of 72582113 is 31128527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72582113 - 2¹⁸ = 72319969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72582613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130031 + ... + 130587.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^72582113 is an apocalyptic number.

It is an amenable number.

72582113 is a deficient number, since it is larger than the sum of its proper divisors (538207).

72582113 is a wasteful number, since it uses less digits than its factorization.

72582113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287.

The product of its digits is 3360, while the sum is 29.

The square root of 72582113 is about 8519.5136598282. The cubic root of 72582113 is about 417.1349083400.

The spelling of 72582113 in words is "seventy-two million, five hundred eighty-two thousand, one hundred thirteen".