72509241373 has 2 divisors, whose sum is σ = 72509241374. Its totient is φ = 72509241372.

The previous prime is 72509241349. The next prime is 72509241407. The reversal of 72509241373 is 37314290527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71162498169 + 1346743204 = 266763^2 + 36698^2 .

It is a cyclic number.

It is not a de Polignac number, because 72509241373 - 2²⁹ = 71972370461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72509241323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36254620686 + 36254620687.

It is an arithmetic number, because the mean of its divisors is an integer number (36254620687).

Almost surely, 2^72509241373 is an apocalyptic number.

It is an amenable number.

72509241373 is a deficient number, since it is larger than the sum of its proper divisors (1).

72509241373 is an equidigital number, since it uses as much as digits as its factorization.

72509241373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 72509241373 in words is "seventy-two billion, five hundred nine million, two hundred forty-one thousand, three hundred seventy-three".