73904 has 20 divisors (see below), whose sum is σ = 148800. Its totient is φ = 35520.

The previous prime is 73897. The next prime is 73907. The reversal of 73904 is 40937.

73904 = 33² + 34² + ... + 63².

73904 is an admirable number.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 73904.

It is not an unprimeable number, because it can be changed into a prime (73907) by changing a digit.

73904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 422 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2⁷³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

73904 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73904 is a wasteful number, since it uses less digits than its factorization.

73904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 73904 is about 271.8529014007. The cubic root of 73904 is about 41.9652017132.

The spelling of 73904 in words is "seventy-three thousand, nine hundred four".