10048727 has 16 divisors (see below), whose sum is σ = 11195520. Its totient is φ = 8962272.

The previous prime is 10048699. The next prime is 10048733. The reversal of 10048727 is 72784001.

It is a cyclic number.

It is not a de Polignac number, because 10048727 - 2¹⁰ = 10047703 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10048727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045727) 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 15 ways as a sum of consecutive naturals, for example, 72224 + ... + 72362.

It is an arithmetic number, because the mean of its divisors is an integer number (699720).

Almost surely, 2^10048727 is an apocalyptic number.

10048727 is a deficient number, since it is larger than the sum of its proper divisors (1146793).

10048727 is a wasteful number, since it uses less digits than its factorization.

10048727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 10048727 is about 3169.9727128163. The cubic root of 10048727 is about 215.7928326319.

The spelling of 10048727 in words is "ten million, forty-eight thousand, seven hundred twenty-seven".