10072427001 has 32 divisors (see below), whose sum is σ = 17099093760. Its totient is φ = 5129720064.

The previous prime is 10072426967. The next prime is 10072427017.

10072427001 is nontrivially palindromic in base 10.

10072427001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10072427001 - 2⁶ = 10072426937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10072427501) 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 in 31 ways as a sum of consecutive naturals, for example, 628210 + ... + 644043.

It is an arithmetic number, because the mean of its divisors is an integer number (534346680).

Almost surely, 2^10072427001 is an apocalyptic number.

It is an amenable number.

10072427001 is a deficient number, since it is larger than the sum of its proper divisors (7026666759).

10072427001 is a wasteful number, since it uses less digits than its factorization.

10072427001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272305.

The product of its (nonzero) digits is 784, while the sum is 24.

The spelling of 10072427001 in words is "ten billion, seventy-two million, four hundred twenty-seven thousand, one".