10005724 has 24 divisors (see below), whose sum is σ = 18642960. Its totient is φ = 4682496.

The previous prime is 10005703. The next prime is 10005727. The reversal of 10005724 is 42750001.

10005724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10005724² = 200229025528352, 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18019 + ... + 18565.

It is an arithmetic number, because the mean of its divisors is an integer number (776790).

Almost surely, 2^10005724 is an apocalyptic number.

It is an amenable number.

10005724 is a deficient number, since it is larger than the sum of its proper divisors (8637236).

10005724 is a wasteful number, since it uses less digits than its factorization.

10005724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 10005724 is about 3163.1825745600. The cubic root of 10005724 is about 215.4845677764.

Adding to 10005724 its reverse (42750001), we get a palindrome (52755725).

It can be divided in two parts, 1000 and 5724, that added together give a square (6724 = 82²).

The spelling of 10005724 in words is "ten million, five thousand, seven hundred twenty-four".