10032711972 has 48 divisors (see below), whose sum is σ = 24007804800. Its totient is φ = 3258973440.

The previous prime is 10032711971. The next prime is 10032711977. The reversal of 10032711972 is 27911723001.

10032711972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10032711972² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10032711971) 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 15 ways as a sum of consecutive naturals, for example, 441054 + ... + 463242.

It is an arithmetic number, because the mean of its divisors is an integer number (500162600).

Almost surely, 2^10032711972 is an apocalyptic number.

10032711972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032711972 is an abundant number, since it is smaller than the sum of its proper divisors (13975092828).

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

10032711972 is a wasteful number, since it uses less digits than its factorization.

10032711972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23156 (or 23154 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 10032711972 in words is "ten billion, thirty-two million, seven hundred eleven thousand, nine hundred seventy-two".