10005736 has 64 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 4274688.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005736 is 63750001.

It is a super-2 number, since 2×10005736² = 200229505803392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 112380 + ... + 112468.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^10005736 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 10005736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

10005736 is an abundant number, since it is smaller than the sum of its proper divisors (11767064).

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

10005736 is a wasteful number, since it uses less digits than its factorization.

10005736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10005736 is about 3163.1844713832. The cubic root of 10005736 is about 215.4846539209.

Adding to 10005736 its reverse (63750001), we get a palindrome (73755737).

The spelling of 10005736 in words is "ten million, five thousand, seven hundred thirty-six".