72404 has 12 divisors (see below), whose sum is σ = 132384. Its totient is φ = 34584.

The previous prime is 72383. The next prime is 72421. The reversal of 72404 is 40427.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

72404 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (11032).

2⁷²⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

72404 is a deficient number, since it is larger than the sum of its proper divisors (59980).

72404 is a wasteful number, since it uses less digits than its factorization.

72404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 72404 is about 269.0799137803. The cubic root of 72404 is about 41.6793419215.

The spelling of 72404 in words is "seventy-two thousand, four hundred four", and thus it is an iban number.