72005107 has 2 divisors, whose sum is σ = 72005108. Its totient is φ = 72005106.

The previous prime is 72005099. The next prime is 72005119. The reversal of 72005107 is 70150027.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72005107 - 2³ = 72005099 is a prime.

It is not a weakly prime, because it can be changed into another prime (72005207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36002553 + 36002554.

It is an arithmetic number, because the mean of its divisors is an integer number (36002554).

Almost surely, 2^72005107 is an apocalyptic number.

72005107 is a deficient number, since it is larger than the sum of its proper divisors (1).

72005107 is an equidigital number, since it uses as much as digits as its factorization.

72005107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 72005107 is about 8485.5823017634. The cubic root of 72005107 is about 416.0266004779.

The spelling of 72005107 in words is "seventy-two million, five thousand, one hundred seven".