71760 has 80 divisors (see below), whose sum is σ = 249984. Its totient is φ = 16896.

The previous prime is 71741. The next prime is 71761. The reversal of 71760 is 6717.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71761) by changing a digit.

71760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109 + ... + 3131.

2⁷¹⁷⁶⁰ 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 71760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

71760 is an abundant number, since it is smaller than the sum of its proper divisors (178224).

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

71760 is a wasteful number, since it uses less digits than its factorization.

71760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 71760 is about 267.8805704041. The cubic root of 71760 is about 41.5554009207. Note that the first 3 decimals are identical.

It can be divided in two parts, 717 and 60, that added together give a palindrome (777).

The spelling of 71760 in words is "seventy-one thousand, seven hundred sixty".