10040727 has 24 divisors (see below), whose sum is σ = 14652496. Its totient is φ = 6110208.

The previous prime is 10040717. The next prime is 10040731. The reversal of 10040727 is 72704001.

It is not a de Polignac number, because 10040727 - 2⁷ = 10040599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040707) 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 23 ways as a sum of consecutive naturals, for example, 31923 + ... + 32235.

Almost surely, 2^10040727 is an apocalyptic number.

10040727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10040727 is a deficient number, since it is larger than the sum of its proper divisors (4611769).

10040727 is a wasteful number, since it uses less digits than its factorization.

10040727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

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

The square root of 10040727 is about 3168.7106210571. The cubic root of 10040727 is about 215.7355517117.

Adding to 10040727 its reverse (72704001), we get a palindrome (82744728).

The spelling of 10040727 in words is "ten million, forty thousand, seven hundred twenty-seven".