72566537 has 2 divisors, whose sum is σ = 72566538. Its totient is φ = 72566536.

The previous prime is 72566467. The next prime is 72566539. The reversal of 72566537 is 73566527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38180041 + 34386496 = 6179^2 + 5864^2 .

It is an emirp because it is prime and its reverse (73566527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72566537 - 2²² = 68372233 is a prime.

Together with 72566539, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72566494 and 72566503.

It is not a weakly prime, because it can be changed into another prime (72566539) 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 as a sum of consecutive naturals, namely, 36283268 + 36283269.

It is an arithmetic number, because the mean of its divisors is an integer number (36283269).

Almost surely, 2^72566537 is an apocalyptic number.

It is an amenable number.

72566537 is a deficient number, since it is larger than the sum of its proper divisors (1).

72566537 is an equidigital number, since it uses as much as digits as its factorization.

72566537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 264600, while the sum is 41.

The square root of 72566537 is about 8518.5994740920. The cubic root of 72566537 is about 417.1050673875.

The spelling of 72566537 in words is "seventy-two million, five hundred sixty-six thousand, five hundred thirty-seven".