72606337 has 6 divisors (see below), whose sum is σ = 77128838. Its totient is φ = 68335104.

The previous prime is 72606323. The next prime is 72606361. The reversal of 72606337 is 73360627.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 29257281 + 43349056 = 5409^2 + 6584^2 .

It is not a de Polignac number, because 72606337 - 2¹¹ = 72604289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72606137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125328 + ... + 125905.

Almost surely, 2^72606337 is an apocalyptic number.

It is an amenable number.

72606337 is a deficient number, since it is larger than the sum of its proper divisors (4522501).

72606337 is a wasteful number, since it uses less digits than its factorization.

72606337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251267 (or 251250 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 34.

The square root of 72606337 is about 8520.9352186248. The cubic root of 72606337 is about 417.1813089002.

The spelling of 72606337 in words is "seventy-two million, six hundred six thousand, three hundred thirty-seven".