36072137 has 2 divisors, whose sum is σ = 36072138. Its totient is φ = 36072136.

The previous prime is 36072121. The next prime is 36072173. The reversal of 36072137 is 73127063.

Together with next prime (36072173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18524416 + 17547721 = 4304^2 + 4189^2 .

It is a cyclic number.

It is not a de Polignac number, because 36072137 - 2⁴ = 36072121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36072037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18036068 + 18036069.

It is an arithmetic number, because the mean of its divisors is an integer number (18036069).

Almost surely, 2^36072137 is an apocalyptic number.

It is an amenable number.

36072137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36072137 is an equidigital number, since it uses as much as digits as its factorization.

36072137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 36072137 is about 6006.0084082525. The cubic root of 36072137 is about 330.4131250808.

The spelling of 36072137 in words is "thirty-six million, seventy-two thousand, one hundred thirty-seven".