10090872 has 128 divisors (see below), whose sum is σ = 31795200. Its totient is φ = 2937600.

The previous prime is 10090867. The next prime is 10090889. The reversal of 10090872 is 27809001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73588 + ... + 73724.

It is an arithmetic number, because the mean of its divisors is an integer number (248400).

Almost surely, 2^10090872 is an apocalyptic number.

10090872 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 10090872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897600).

10090872 is an abundant number, since it is smaller than the sum of its proper divisors (21704328).

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

10090872 is a wasteful number, since it uses less digits than its factorization.

10090872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10090872 is about 3176.6132909122. The cubic root of 10090872 is about 216.0940948066.

Adding to 10090872 its reverse (27809001), we get a palindrome (37899873).

The spelling of 10090872 in words is "ten million, ninety thousand, eight hundred seventy-two".