72809224289 has 2 divisors, whose sum is σ = 72809224290. Its totient is φ = 72809224288.

The previous prime is 72809224283. The next prime is 72809224307. The reversal of 72809224289 is 98242290827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72417501025 + 391723264 = 269105^2 + 19792^2 .

It is a cyclic number.

It is not a de Polignac number, because 72809224289 - 2⁴ = 72809224273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72809224289.

It is not a weakly prime, because it can be changed into another prime (72809224283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36404612144 + 36404612145.

It is an arithmetic number, because the mean of its divisors is an integer number (36404612145).

Almost surely, 2^72809224289 is an apocalyptic number.

It is an amenable number.

72809224289 is a deficient number, since it is larger than the sum of its proper divisors (1).

72809224289 is an equidigital number, since it uses as much as digits as its factorization.

72809224289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 72809224289 in words is "seventy-two billion, eight hundred nine million, two hundred twenty-four thousand, two hundred eighty-nine".