10005752 has 16 divisors (see below), whose sum is σ = 18813600. Its totient is φ = 4988800.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005752 is 25750001.

10005752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005731) and next prime (10005773).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1649 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (1175850).

Almost surely, 2^10005752 is an apocalyptic number.

It is an amenable number.

10005752 is a deficient number, since it is larger than the sum of its proper divisors (8807848).

10005752 is a wasteful number, since it uses less digits than its factorization.

10005752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 10005752 is about 3163.1870004791. The cubic root of 10005752 is about 215.4847687801.

Adding to 10005752 its reverse (25750001), we get a palindrome (35755753).

The spelling of 10005752 in words is "ten million, five thousand, seven hundred fifty-two".