72005005 has 32 divisors (see below), whose sum is σ = 92378880. Its totient is φ = 53813760.

The previous prime is 72004981. The next prime is 72005023. The reversal of 72005005 is 50050027.

It is a happy number.

It is not a de Polignac number, because 72005005 - 2²¹ = 69907853 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809001 + ... + 809089.

It is an arithmetic number, because the mean of its divisors is an integer number (2886840).

Almost surely, 2^72005005 is an apocalyptic number.

It is an amenable number.

72005005 is a deficient number, since it is larger than the sum of its proper divisors (20373875).

72005005 is a wasteful number, since it uses less digits than its factorization.

72005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 72005005 is about 8485.5762915668. The cubic root of 72005005 is about 416.0264040347.

The spelling of 72005005 in words is "seventy-two million, five thousand, five".