71604 has 60 divisors (see below), whose sum is σ = 213444. Its totient is φ = 20736.

The previous prime is 71597. The next prime is 71633. The reversal of 71604 is 40617.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 39204 = 180^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

71604 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 19 ways as a sum of consecutive naturals, for example, 4204 + ... + 4220.

2⁷¹⁶⁰⁴ 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 71604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106722).

71604 is an abundant number, since it is smaller than the sum of its proper divisors (141840).

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

71604 is a wasteful number, since it uses less digits than its factorization.

71604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71604 is about 267.5892374517. The cubic root of 71604 is about 41.5252664642.

The spelling of 71604 in words is "seventy-one thousand, six hundred four".