10006072272 has 120 divisors (see below), whose sum is σ = 32035985280. Its totient is φ = 2855980800.

The previous prime is 10006072253. The next prime is 10006072309. The reversal of 10006072272 is 27227060001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113397 + ... + 1122347.

It is an arithmetic number, because the mean of its divisors is an integer number (266966544).

Almost surely, 2^10006072272 is an apocalyptic number.

10006072272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006072272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017992640).

10006072272 is an abundant number, since it is smaller than the sum of its proper divisors (22029913008).

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

10006072272 is a wasteful number, since it uses less digits than its factorization.

10006072272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10006072272 in words is "ten billion, six million, seventy-two thousand, two hundred seventy-two".