10072868 has 24 divisors (see below), whose sum is σ = 19188792. Its totient is φ = 4598784.

The previous prime is 10072837. The next prime is 10072871. The reversal of 10072868 is 86827001.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 9872164 = 448^2 + 3142^2 .

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 7 ways as a sum of consecutive naturals, for example, 4046 + ... + 6042.

It is an arithmetic number, because the mean of its divisors is an integer number (799533).

Almost surely, 2^10072868 is an apocalyptic number.

It is an amenable number.

10072868 is a deficient number, since it is larger than the sum of its proper divisors (9115924).

10072868 is a wasteful number, since it uses less digits than its factorization.

10072868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 10072868 is about 3173.7781901072. The cubic root of 10072868 is about 215.9655008916.

Adding to 10072868 its reverse (86827001), we get a palindrome (96899869).

The spelling of 10072868 in words is "ten million, seventy-two thousand, eight hundred sixty-eight".