10431872 has 64 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 4569600.

The previous prime is 10431859. The next prime is 10431899. The reversal of 10431872 is 27813401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43529 + ... + 43767.

It is an arithmetic number, because the mean of its divisors is an integer number (367200).

Almost surely, 2^10431872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

10431872 is an abundant number, since it is smaller than the sum of its proper divisors (13068928).

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

10431872 is a wasteful number, since it uses less digits than its factorization.

10431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10431872 is about 3229.8408629528. The cubic root of 10431872 is about 218.5013291780.

The spelling of 10431872 in words is "ten million, four hundred thirty-one thousand, eight hundred seventy-two".