10072685 has 12 divisors (see below), whose sum is σ = 14060988. Its totient is φ = 6906816.

The previous prime is 10072681. The next prime is 10072693. The reversal of 10072685 is 58627001.

It can be written as a sum of positive squares in 2 ways, for example, as 5866084 + 4206601 = 2422^2 + 2051^2 .

It is not a de Polignac number, because 10072685 - 2² = 10072681 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072681) 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 11 ways as a sum of consecutive naturals, for example, 20312 + ... + 20801.

It is an arithmetic number, because the mean of its divisors is an integer number (1171749).

Almost surely, 2^10072685 is an apocalyptic number.

It is an amenable number.

10072685 is a deficient number, since it is larger than the sum of its proper divisors (3988303).

10072685 is an equidigital number, since it uses as much as digits as its factorization.

10072685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41132 (or 41125 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 10072685 is about 3173.7493599842. The cubic root of 10072685 is about 215.9641930243.

Adding to 10072685 its reverse (58627001), we get a palindrome (68699686).

The spelling of 10072685 in words is "ten million, seventy-two thousand, six hundred eighty-five".