71911680 has 144 divisors (see below), whose sum is σ = 234193344. Its totient is φ = 18800640.

The previous prime is 71911673. The next prime is 71911681. The reversal of 71911680 is 8611917.

It is not an unprimeable number, because it can be changed into a prime (71911681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234087 + ... + 234393.

Almost surely, 2^71911680 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 71911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117096672).

71911680 is an abundant number, since it is smaller than the sum of its proper divisors (162281664).

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

71911680 is a wasteful number, since it uses less digits than its factorization.

71911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 71911680 is about 8480.0754713623. The cubic root of 71911680 is about 415.8465903764.

The spelling of 71911680 in words is "seventy-one million, nine hundred eleven thousand, six hundred eighty".