10072591 has 2 divisors, whose sum is σ = 10072592. Its totient is φ = 10072590.

The previous prime is 10072589. The next prime is 10072607. The reversal of 10072591 is 19527001.

10072591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10072591 - 2¹ = 10072589 is a prime.

Together with 10072589, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10072501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036295 + 5036296.

It is an arithmetic number, because the mean of its divisors is an integer number (5036296).

Almost surely, 2^10072591 is an apocalyptic number.

10072591 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072591 is an equidigital number, since it uses as much as digits as its factorization.

10072591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 10072591 is about 3173.7345509667. The cubic root of 10072591 is about 215.9635212174.

Adding to 10072591 its reverse (19527001), we get a palindrome (29599592).

The spelling of 10072591 in words is "ten million, seventy-two thousand, five hundred ninety-one".