72427324072667 has 2 divisors, whose sum is σ = 72427324072668. Its totient is φ = 72427324072666.

The previous prime is 72427324072601. The next prime is 72427324072687. The reversal of 72427324072667 is 76627042372427.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72427324072667 is a prime.

It is a super-2 number, since 2×72427324072667² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72427324072687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36213662036333 + 36213662036334.

It is an arithmetic number, because the mean of its divisors is an integer number (36213662036334).

Almost surely, 2^{72427324072667} is an apocalyptic number.

72427324072667 is a deficient number, since it is larger than the sum of its proper divisors (1).

72427324072667 is an equidigital number, since it uses as much as digits as its factorization.

72427324072667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 66382848, while the sum is 59.

The spelling of 72427324072667 in words is "seventy-two trillion, four hundred twenty-seven billion, three hundred twenty-four million, seventy-two thousand, six hundred sixty-seven".