10072638191 has 16 divisors (see below), whose sum is σ = 12682441728. Its totient is φ = 7771092000.

The previous prime is 10072638187. The next prime is 10072638209. The reversal of 10072638191 is 19183627001.

It is not a de Polignac number, because 10072638191 - 2² = 10072638187 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072638151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639815 + ... + 655368.

It is an arithmetic number, because the mean of its divisors is an integer number (792652608).

Almost surely, 2^10072638191 is an apocalyptic number.

10072638191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10072638191 is a deficient number, since it is larger than the sum of its proper divisors (2609803537).

10072638191 is a wasteful number, since it uses less digits than its factorization.

10072638191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295302.

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 10072638191 in words is "ten billion, seventy-two million, six hundred thirty-eight thousand, one hundred ninety-one".