10072627 has 2 divisors, whose sum is σ = 10072628. Its totient is φ = 10072626.

The previous prime is 10072609. The next prime is 10072639. The reversal of 10072627 is 72627001.

10072627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10072627 - 2¹⁵ = 10039859 is a prime.

It is a super-2 number, since 2×10072627² = 202915629362258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10072607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036313 + 5036314.

It is an arithmetic number, because the mean of its divisors is an integer number (5036314).

Almost surely, 2^10072627 is an apocalyptic number.

10072627 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072627 is an equidigital number, since it uses as much as digits as its factorization.

10072627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 10072627 is about 3173.7402225135. The cubic root of 10072627 is about 215.9637785056.

Adding to 10072627 its reverse (72627001), we get a palindrome (82699628).

It can be divided in two parts, 100 and 72627, that added together give a palindrome (72727).

The spelling of 10072627 in words is "ten million, seventy-two thousand, six hundred twenty-seven".