10090752 has 72 divisors (see below), whose sum is σ = 30709056. Its totient is φ = 2881536.

The previous prime is 10090739. The next prime is 10090757. The reversal of 10090752 is 25709001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10090757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4438 + ... + 6314.

Almost surely, 2^10090752 is an apocalyptic number.

10090752 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 10090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354528).

10090752 is an abundant number, since it is smaller than the sum of its proper divisors (20618304).

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

10090752 is an equidigital number, since it uses as much as digits as its factorization.

10090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10090752 is about 3176.5944028157. The cubic root of 10090752 is about 216.0932382108.

Adding to 10090752 its reverse (25709001), we get a palindrome (35799753).

The spelling of 10090752 in words is "ten million, ninety thousand, seven hundred fifty-two".