71183680 has 56 divisors (see below), whose sum is σ = 170581320. Its totient is φ = 28293120.

The previous prime is 71183663. The next prime is 71183683. The reversal of 71183680 is 8638117.

It can be written as a sum of positive squares in 4 ways, for example, as 6927424 + 64256256 = 2632^2 + 8016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71183683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57306 + ... + 58534.

It is an arithmetic number, because the mean of its divisors is an integer number (3046095).

Almost surely, 2^71183680 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 71183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85290660).

71183680 is an abundant number, since it is smaller than the sum of its proper divisors (99397640).

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

71183680 is a wasteful number, since it uses less digits than its factorization.

71183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 71183680 is about 8437.0421357251. The cubic root of 71183680 is about 414.4385498044.

The spelling of 71183680 in words is "seventy-one million, one hundred eighty-three thousand, six hundred eighty".