72872796677 has 2 divisors, whose sum is σ = 72872796678. Its totient is φ = 72872796676.

The previous prime is 72872796641. The next prime is 72872796679. The reversal of 72872796677 is 77669727827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43161724516 + 29711072161 = 207754^2 + 172369^2 .

It is an emirp because it is prime and its reverse (77669727827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72872796677 - 2³⁰ = 71799054853 is a prime.

Together with 72872796679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72872796679) 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, 36436398338 + 36436398339.

It is an arithmetic number, because the mean of its divisors is an integer number (36436398339).

Almost surely, 2^72872796677 is an apocalyptic number.

It is an amenable number.

72872796677 is a deficient number, since it is larger than the sum of its proper divisors (1).

72872796677 is an equidigital number, since it uses as much as digits as its factorization.

72872796677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174254976, while the sum is 68.

The spelling of 72872796677 in words is "seventy-two billion, eight hundred seventy-two million, seven hundred ninety-six thousand, six hundred seventy-seven".