72005237 has 2 divisors, whose sum is σ = 72005238. Its totient is φ = 72005236.

The previous prime is 72005233. The next prime is 72005279. The reversal of 72005237 is 73250027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56685841 + 15319396 = 7529^2 + 3914^2 .

It is a cyclic number.

It is not a de Polignac number, because 72005237 - 2² = 72005233 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72005233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36002618 + 36002619.

It is an arithmetic number, because the mean of its divisors is an integer number (36002619).

Almost surely, 2^72005237 is an apocalyptic number.

It is an amenable number.

72005237 is a deficient number, since it is larger than the sum of its proper divisors (1).

72005237 is an equidigital number, since it uses as much as digits as its factorization.

72005237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 72005237 is about 8485.5899618117. The cubic root of 72005237 is about 416.0268508464.

The spelling of 72005237 in words is "seventy-two million, five thousand, two hundred thirty-seven".