72842657 has 2 divisors, whose sum is σ = 72842658. Its totient is φ = 72842656.

The previous prime is 72842647. The next prime is 72842669. The reversal of 72842657 is 75624827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65788321 + 7054336 = 8111^2 + 2656^2 .

It is an emirp because it is prime and its reverse (75624827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72842657 - 2⁴ = 72842641 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72842647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36421328 + 36421329.

It is an arithmetic number, because the mean of its divisors is an integer number (36421329).

Almost surely, 2^72842657 is an apocalyptic number.

It is an amenable number.

72842657 is a deficient number, since it is larger than the sum of its proper divisors (1).

72842657 is an equidigital number, since it uses as much as digits as its factorization.

72842657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 188160, while the sum is 41.

The square root of 72842657 is about 8534.7909757650. The cubic root of 72842657 is about 417.6334343475.

The spelling of 72842657 in words is "seventy-two million, eight hundred forty-two thousand, six hundred fifty-seven".