10005726 has 16 divisors (see below), whose sum is σ = 20118528. Its totient is φ = 3317400.

The previous prime is 10005703. The next prime is 10005727. The reversal of 10005726 is 62750001.

It is a super-2 number, since 2×10005726² = 200229105574152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3220 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (1257408).

Almost surely, 2^10005726 is an apocalyptic number.

10005726 is an abundant number, since it is smaller than the sum of its proper divisors (10112802).

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

10005726 is a wasteful number, since it uses less digits than its factorization.

10005726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10005726 is about 3163.1828906973. The cubic root of 10005726 is about 215.4845821338.

Adding to 10005726 its reverse (62750001), we get a palindrome (72755727).

It can be divided in two parts, 10005 and 726, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10005726 in words is "ten million, five thousand, seven hundred twenty-six".