72337 has 2 divisors, whose sum is σ = 72338. Its totient is φ = 72336.

The previous prime is 72313. The next prime is 72341. The reversal of 72337 is 73327.

72337 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 16641 = 236^2 + 129^2 .

It is an emirp because it is prime and its reverse (73327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72337 - 2¹¹ = 70289 is a prime.

It is a Chen prime.

It is equal to p₇₁₅₉ and since 72337 and 7159 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (72307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36168 + 36169.

It is an arithmetic number, because the mean of its divisors is an integer number (36169).

2⁷²³³⁷ is an apocalyptic number.

It is an amenable number.

72337 is a deficient number, since it is larger than the sum of its proper divisors (1).

72337 is an equidigital number, since it uses as much as digits as its factorization.

72337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882, while the sum is 22.

The square root of 72337 is about 268.9553866350. The cubic root of 72337 is about 41.6664817770. Note that the first 3 decimals are identical.

Subtracting 72337 from its reverse (73327), we obtain a triangular number (990 = T₄₄).

The spelling of 72337 in words is "seventy-two thousand, three hundred thirty-seven".