72786958041 has 16 divisors (see below), whose sum is σ = 112432824704. Its totient is φ = 41022785664.

The previous prime is 72786958037. The next prime is 72786958061. The reversal of 72786958041 is 14085968727.

It is not a de Polignac number, because 72786958041 - 2² = 72786958037 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72786958061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23738506 + ... + 23741571.

It is an arithmetic number, because the mean of its divisors is an integer number (7027051544).

Almost surely, 2^72786958041 is an apocalyptic number.

It is an amenable number.

72786958041 is a deficient number, since it is larger than the sum of its proper divisors (39645866663).

72786958041 is a wasteful number, since it uses less digits than its factorization.

72786958041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47480160.

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 72786958041 in words is "seventy-two billion, seven hundred eighty-six million, nine hundred fifty-eight thousand, forty-one".