10072587 has 12 divisors (see below), whose sum is σ = 15623016. Its totient is φ = 5755680.

The previous prime is 10072571. The next prime is 10072589. The reversal of 10072587 is 78527001.

It is a happy number.

It is not a de Polignac number, because 10072587 - 2⁴ = 10072571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10072589) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34114 + ... + 34407.

It is an arithmetic number, because the mean of its divisors is an integer number (1301918).

Almost surely, 2^10072587 is an apocalyptic number.

10072587 is a deficient number, since it is larger than the sum of its proper divisors (5550429).

10072587 is an equidigital number, since it uses as much as digits as its factorization.

10072587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68538 (or 68531 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10072587 is about 3173.7339207942. The cubic root of 10072587 is about 215.9634926298.

Adding to 10072587 its reverse (78527001), we get a palindrome (88599588).

The spelling of 10072587 in words is "ten million, seventy-two thousand, five hundred eighty-seven".