10072713160 has 32 divisors (see below), whose sum is σ = 22712595840. Its totient is φ = 4020375744.

The previous prime is 10072713121. The next prime is 10072713187. The reversal of 10072713160 is 6131727001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253422 + ... + 290461.

It is an arithmetic number, because the mean of its divisors is an integer number (709768620).

Almost surely, 2^10072713160 is an apocalyptic number.

10072713160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072713160 is an abundant number, since it is smaller than the sum of its proper divisors (12639882680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10072713160 is a wasteful number, since it uses less digits than its factorization.

10072713160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544357 (or 544353 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 10072713160 in words is "ten billion, seventy-two million, seven hundred thirteen thousand, one hundred sixty".