72005741 has 4 divisors (see below), whose sum is σ = 72042300. Its totient is φ = 71969184.

The previous prime is 72005729. The next prime is 72005749. The reversal of 72005741 is 14750027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 14750027 = 1289 ⋅11443.

It can be written as a sum of positive squares in 2 ways, for example, as 54449641 + 17556100 = 7379^2 + 4190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72005741 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72005741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005749) 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 in 3 ways as a sum of consecutive naturals, for example, 15146 + ... + 19323.

It is an arithmetic number, because the mean of its divisors is an integer number (18010575).

Almost surely, 2^72005741 is an apocalyptic number.

It is an amenable number.

72005741 is a deficient number, since it is larger than the sum of its proper divisors (36559).

72005741 is a wasteful number, since it uses less digits than its factorization.

72005741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36558.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 72005741 is about 8485.6196591646. The cubic root of 72005741 is about 416.0278215028.

Adding to 72005741 its reverse (14750027), we get a palindrome (86755768).

The spelling of 72005741 in words is "seventy-two million, five thousand, seven hundred forty-one".