71600 has 30 divisors (see below), whose sum is σ = 172980. Its totient is φ = 28480.

The previous prime is 71597. The next prime is 71633. The reversal of 71600 is 617.

It is a happy number.

71600 is nontrivially palindromic in base 7.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (5766).

2⁷¹⁶⁰⁰ 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 71600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86490).

71600 is an abundant number, since it is smaller than the sum of its proper divisors (101380).

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

71600 is a wasteful number, since it uses less digits than its factorization.

71600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 71600 is about 267.5817632052. The cubic root of 71600 is about 41.5244932105.

The spelling of 71600 in words is "seventy-one thousand, six hundred".