72267741737857 has 2 divisors, whose sum is σ = 72267741737858. Its totient is φ = 72267741737856.

The previous prime is 72267741737831. The next prime is 72267741737869. The reversal of 72267741737857 is 75873714776227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71048563598961 + 1219178138896 = 8429031^2 + 1104164^2 .

It is a cyclic number.

It is not a de Polignac number, because 72267741737857 - 2³⁵ = 72233381999489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72267741737857.

It is not a weakly prime, because it can be changed into another prime (72267742737857) 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, 36133870868928 + 36133870868929.

It is an arithmetic number, because the mean of its divisors is an integer number (36133870868929).

Almost surely, 2^{72267741737857} is an apocalyptic number.

It is an amenable number.

72267741737857 is a deficient number, since it is larger than the sum of its proper divisors (1).

72267741737857 is an equidigital number, since it uses as much as digits as its factorization.

72267741737857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1355316480, while the sum is 73.

The spelling of 72267741737857 in words is "seventy-two trillion, two hundred sixty-seven billion, seven hundred forty-one million, seven hundred thirty-seven thousand, eight hundred fifty-seven".