72004 has 12 divisors (see below), whose sum is σ = 129024. Its totient is φ = 35144.

The previous prime is 71999. The next prime is 72019. The reversal of 72004 is 40027.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2⁷²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

72004 is a deficient number, since it is larger than the sum of its proper divisors (57020).

72004 is a wasteful number, since it uses less digits than its factorization.

72004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 72004 is about 268.3356107564. The cubic root of 72004 is about 41.6024468482.

It can be divided in two parts, 7 and 2004, that multiplied together give a triangular number (14028 = T₁₆₇).

The spelling of 72004 in words is "seventy-two thousand, four", and thus it is an iban number.