72003 has 4 divisors (see below), whose sum is σ = 96008. Its totient is φ = 48000.

The previous prime is 71999. The next prime is 72019. The reversal of 72003 is 30027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 30027 = 3 ⋅10009.

It is not a de Polignac number, because 72003 - 2² = 71999 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72003.

It is not an unprimeable number, because it can be changed into a prime (72043) by changing a digit.

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, 11998 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (24002).

2⁷²⁰⁰³ is an apocalyptic number.

72003 is a deficient number, since it is larger than the sum of its proper divisors (24005).

72003 is a wasteful number, since it uses less digits than its factorization.

72003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24004.

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 72003 is about 268.3337474117. Note that the first 3 decimals coincide. The cubic root of 72003 is about 41.6022542541.

The spelling of 72003 in words is "seventy-two thousand, three", and thus it is an iban number.