10072713159 has 6 divisors (see below), whose sum is σ = 14549474576. Its totient is φ = 6715142100.

The previous prime is 10072713121. The next prime is 10072713187. The reversal of 10072713159 is 95131727001.

10072713159 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 10072713159 - 2⁹ = 10072712647 is a prime.

It is a super-3 number, since 3×10072713159³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072713199) 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 5 ways as a sum of consecutive naturals, for example, 559595167 + ... + 559595184.

Almost surely, 2^10072713159 is an apocalyptic number.

10072713159 is a deficient number, since it is larger than the sum of its proper divisors (4476761417).

10072713159 is a wasteful number, since it uses less digits than its factorization.

10072713159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119190357 (or 1119190354 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 10072713159 in words is "ten billion, seventy-two million, seven hundred thirteen thousand, one hundred fifty-nine".