72820725737 has 2 divisors, whose sum is σ = 72820725738. Its totient is φ = 72820725736.

The previous prime is 72820725697. The next prime is 72820725779. The reversal of 72820725737 is 73752702827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53812864576 + 19007861161 = 231976^2 + 137869^2 .

It is a cyclic number.

It is not a de Polignac number, because 72820725737 - 2¹² = 72820721641 is a prime.

It is not a weakly prime, because it can be changed into another prime (72820725787) 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 as a sum of consecutive naturals, namely, 36410362868 + 36410362869.

It is an arithmetic number, because the mean of its divisors is an integer number (36410362869).

Almost surely, 2^72820725737 is an apocalyptic number.

It is an amenable number.

72820725737 is a deficient number, since it is larger than the sum of its proper divisors (1).

72820725737 is an equidigital number, since it uses as much as digits as its factorization.

72820725737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304960, while the sum is 50.

The spelling of 72820725737 in words is "seventy-two billion, eight hundred twenty million, seven hundred twenty-five thousand, seven hundred thirty-seven".