10072727 has 4 divisors (see below), whose sum is σ = 11511696. Its totient is φ = 8633760.

The previous prime is 10072709. The next prime is 10072729. The reversal of 10072727 is 72727001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72727001 = 47 ⋅1547383.

It is a cyclic number.

It is not a de Polignac number, because 10072727 - 2⁶ = 10072663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10072696 and 10072705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072729) 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 3 ways as a sum of consecutive naturals, for example, 719474 + ... + 719487.

It is an arithmetic number, because the mean of its divisors is an integer number (2877924).

Almost surely, 2^10072727 is an apocalyptic number.

10072727 is a deficient number, since it is larger than the sum of its proper divisors (1438969).

10072727 is an equidigital number, since it uses as much as digits as its factorization.

10072727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438968.

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 10072727 is about 3173.7559767569. The cubic root of 10072727 is about 215.9644931919.

Adding to 10072727 its reverse (72727001), we get a palindrome (82799728).

It can be divided in two parts, 100 and 72727, that added together give a palindrome (72827).

The spelling of 10072727 in words is "ten million, seventy-two thousand, seven hundred twenty-seven".