72305137 has 2 divisors, whose sum is σ = 72305138. Its totient is φ = 72305136.

The previous prime is 72305111. The next prime is 72305153. The reversal of 72305137 is 73150327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 32160241 = 6336^2 + 5671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72305137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72306137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36152568 + 36152569.

It is an arithmetic number, because the mean of its divisors is an integer number (36152569).

Almost surely, 2^72305137 is an apocalyptic number.

It is an amenable number.

72305137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72305137 is an equidigital number, since it uses as much as digits as its factorization.

72305137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 72305137 is about 8503.2427343926. The cubic root of 72305137 is about 416.6036312820.

The spelling of 72305137 in words is "seventy-two million, three hundred five thousand, one hundred thirty-seven".