73704 has 32 divisors (see below), whose sum is σ = 191520. Its totient is φ = 23616.

The previous prime is 73699. The next prime is 73709. The reversal of 73704 is 40737.

It is an interprime number because it is at equal distance from previous prime (73699) and next prime (73709).

It is not an unprimeable number, because it can be changed into a prime (73709) by changing a digit.

73704 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 7 ways as a sum of consecutive naturals, for example, 847 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁷³⁷⁰⁴ is an apocalyptic number.

73704 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

73704 is an abundant number, since it is smaller than the sum of its proper divisors (117816).

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

73704 is a wasteful number, since it uses less digits than its factorization.

73704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 73704 is about 271.4848062047. The cubic root of 73704 is about 41.9273119153.

It can be divided in two parts, 73 and 704, that added together give a palindrome (777).

The spelling of 73704 in words is "seventy-three thousand, seven hundred four", and thus it is an iban number.