72981833 has 8 divisors (see below), whose sum is σ = 77502600. Its totient is φ = 68486400.

The previous prime is 72981791. The next prime is 72981847. The reversal of 72981833 is 33818927.

It can be written as a sum of positive squares in 4 ways, for example, as 22401289 + 50580544 = 4733^2 + 7112^2 .

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 72981833 - 2²² = 68787529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72981863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218 + ... + 12083.

It is an arithmetic number, because the mean of its divisors is an integer number (9687825).

Almost surely, 2^72981833 is an apocalyptic number.

It is an amenable number.

72981833 is a deficient number, since it is larger than the sum of its proper divisors (4520767).

72981833 is a wasteful number, since it uses less digits than its factorization.

72981833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667.

The product of its digits is 72576, while the sum is 41.

The square root of 72981833 is about 8542.9405359045. The cubic root of 72981833 is about 417.8992473302.

The spelling of 72981833 in words is "seventy-two million, nine hundred eighty-one thousand, eight hundred thirty-three".