72641857 has 2 divisors, whose sum is σ = 72641858. Its totient is φ = 72641856.

The previous prime is 72641819. The next prime is 72641879. The reversal of 72641857 is 75814627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53640976 + 19000881 = 7324^2 + 4359^2 .

It is a cyclic number.

It is not a de Polignac number, because 72641857 - 2⁷ = 72641729 is a prime.

It is not a weakly prime, because it can be changed into another prime (72641887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36320928 + 36320929.

It is an arithmetic number, because the mean of its divisors is an integer number (36320929).

Almost surely, 2^72641857 is an apocalyptic number.

It is an amenable number.

72641857 is a deficient number, since it is larger than the sum of its proper divisors (1).

72641857 is an equidigital number, since it uses as much as digits as its factorization.

72641857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94080, while the sum is 40.

The square root of 72641857 is about 8523.0192420292. The cubic root of 72641857 is about 417.2493280517.

The spelling of 72641857 in words is "seventy-two million, six hundred forty-one thousand, eight hundred fifty-seven".