10444872 has 64 divisors (see below), whose sum is σ = 27720000. Its totient is φ = 3273984.

The previous prime is 10444871. The next prime is 10444879. The reversal of 10444872 is 27844401.

It is not an unprimeable number, because it can be changed into a prime (10444871) 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, 29754 + ... + 30102.

It is an arithmetic number, because the mean of its divisors is an integer number (433125).

Almost surely, 2^10444872 is an apocalyptic number.

10444872 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 10444872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860000).

10444872 is an abundant number, since it is smaller than the sum of its proper divisors (17275128).

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

10444872 is a wasteful number, since it uses less digits than its factorization.

10444872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 10444872 is about 3231.8527194165. The cubic root of 10444872 is about 218.5920555648.

The spelling of 10444872 in words is "ten million, four hundred forty-four thousand, eight hundred seventy-two".