10072905 has 16 divisors (see below), whose sum is σ = 16339200. Its totient is φ = 5298048.

The previous prime is 10072897. The next prime is 10072943. The reversal of 10072905 is 50927001.

10072905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10072905 - 2³ = 10072897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3505 + ... + 5694.

It is an arithmetic number, because the mean of its divisors is an integer number (1021200).

Almost surely, 2^10072905 is an apocalyptic number.

10072905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10072905 is a deficient number, since it is larger than the sum of its proper divisors (6266295).

10072905 is an equidigital number, since it uses as much as digits as its factorization.

10072905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10072905 is about 3173.7840191166. The cubic root of 10072905 is about 215.9657653219.

Adding to 10072905 its reverse (50927001), we get a palindrome (60999906).

The spelling of 10072905 in words is "ten million, seventy-two thousand, nine hundred five".