72005749 has 2 divisors, whose sum is σ = 72005750. Its totient is φ = 72005748.

The previous prime is 72005729. The next prime is 72005789. The reversal of 72005749 is 94750027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 18861649 = 7290^2 + 4343^2 .

It is a cyclic number.

It is not a de Polignac number, because 72005749 - 2⁹ = 72005237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72005729) 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, 36002874 + 36002875.

It is an arithmetic number, because the mean of its divisors is an integer number (36002875).

Almost surely, 2^72005749 is an apocalyptic number.

It is an amenable number.

72005749 is a deficient number, since it is larger than the sum of its proper divisors (1).

72005749 is an equidigital number, since it uses as much as digits as its factorization.

72005749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72005749 is about 8485.6201305503. The cubic root of 72005749 is about 416.0278369100.

The spelling of 72005749 in words is "seventy-two million, five thousand, seven hundred forty-nine".