72704 has 22 divisors (see below), whose sum is σ = 147384. Its totient is φ = 35840.

The previous prime is 72701. The next prime is 72707. The reversal of 72704 is 40727.

It is an interprime number because it is at equal distance from previous prime (72701) and next prime (72707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 989 + ... + 1059.

2⁷²⁷⁰⁴ 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 72704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73692).

72704 is an abundant number, since it is smaller than the sum of its proper divisors (74680).

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

72704 is an equidigital number, since it uses as much as digits as its factorization.

72704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 72704 is about 269.6367927416. The cubic root of 72704 is about 41.7368275702.

The spelling of 72704 in words is "seventy-two thousand, seven hundred four", and thus it is an iban number.