72765137 has 2 divisors, whose sum is σ = 72765138. Its totient is φ = 72765136.

The previous prime is 72765127. The next prime is 72765139. The reversal of 72765137 is 73156727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60155536 + 12609601 = 7756^2 + 3551^2 .

It is a cyclic number.

It is not a de Polignac number, because 72765137 - 2¹⁰ = 72764113 is a prime.

Together with 72765139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72765137.

It is not a weakly prime, because it can be changed into another prime (72765139) 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 as a sum of consecutive naturals, namely, 36382568 + 36382569.

It is an arithmetic number, because the mean of its divisors is an integer number (36382569).

Almost surely, 2^72765137 is an apocalyptic number.

It is an amenable number.

72765137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72765137 is an equidigital number, since it uses as much as digits as its factorization.

72765137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61740, while the sum is 38.

The square root of 72765137 is about 8530.2483551184. The cubic root of 72765137 is about 417.4852316480.

The spelling of 72765137 in words is "seventy-two million, seven hundred sixty-five thousand, one hundred thirty-seven".