10007724 has 12 divisors (see below), whose sum is σ = 23351384. Its totient is φ = 3335904.

The previous prime is 10007719. The next prime is 10007741. The reversal of 10007724 is 42770001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10007724.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 416977 + ... + 417000.

Almost surely, 2^10007724 is an apocalyptic number.

It is an amenable number.

10007724 is an abundant number, since it is smaller than the sum of its proper divisors (13343660).

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

10007724 is a wasteful number, since it uses less digits than its factorization.

10007724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833984 (or 833982 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10007724 is about 3163.4986960642. The cubic root of 10007724 is about 215.4989242396.

Adding to 10007724 its reverse (42770001), we get a palindrome (52777725).

It can be divided in two parts, 10007 and 724, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10007724 in words is "ten million, seven thousand, seven hundred twenty-four".