72005 has 4 divisors (see below), whose sum is σ = 86412. Its totient is φ = 57600.

The previous prime is 71999. The next prime is 72019. The reversal of 72005 is 50027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50027 = 19 ⋅2633.

It can be written as a sum of positive squares in 2 ways, for example, as 57121 + 14884 = 239^2 + 122^2 .

It is not a de Polignac number, because 72005 - 2⁶ = 71941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7196 + ... + 7205.

It is an arithmetic number, because the mean of its divisors is an integer number (21603).

2⁷²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

72005 is a deficient number, since it is larger than the sum of its proper divisors (14407).

72005 is a wasteful number, since it uses less digits than its factorization.

72005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406.

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 72005 is about 268.3374740881. The cubic root of 72005 is about 41.6026394405.

The spelling of 72005 in words is "seventy-two thousand, five".