71680 has 48 divisors (see below), whose sum is σ = 196560. Its totient is φ = 24576.

The previous prime is 71671. The next prime is 71693. The reversal of 71680 is 8617.

It is a congruent number.

It is an unprimeable number.

71680 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10237 + ... + 10243.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁷¹⁶⁸⁰ is an apocalyptic number.

71680 is a gapful number since it is divisible by the number (70) 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 71680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

71680 is an abundant number, since it is smaller than the sum of its proper divisors (124880).

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

71680 is an equidigital number, since it uses as much as digits as its factorization.

71680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 71680 is about 267.7312084909. The cubic root of 71680 is about 41.5399528148.

The spelling of 71680 in words is "seventy-one thousand, six hundred eighty".