73504 has 12 divisors (see below), whose sum is σ = 144774. Its totient is φ = 36736.

The previous prime is 73483. The next prime is 73517. The reversal of 73504 is 40537.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 10000 = 252^2 + 100^2 .

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 as a sum of consecutive naturals, namely, 1117 + ... + 1180.

2⁷³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

73504 is a deficient number, since it is larger than the sum of its proper divisors (71270).

73504 is a wasteful number, since it uses less digits than its factorization.

73504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 73504 is about 271.1162112453. The cubic root of 73504 is about 41.8893535112.

The spelling of 73504 in words is "seventy-three thousand, five hundred four".