71941760 has 96 divisors (see below), whose sum is σ = 189245700. Its totient is φ = 26132480.

The previous prime is 71941747. The next prime is 71941781. The reversal of 71941760 is 6714917.

It can be written as a sum of positive squares in 2 ways, for example, as 61340224 + 10601536 = 7832^2 + 3256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71941760.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76976 + ... + 77904.

Almost surely, 2^71941760 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 71941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94622850).

71941760 is an abundant number, since it is smaller than the sum of its proper divisors (117303940).

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

71941760 is a wasteful number, since it uses less digits than its factorization.

71941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 71941760 is about 8481.8488550551. The cubic root of 71941760 is about 415.9045639061.

The spelling of 71941760 in words is "seventy-one million, nine hundred forty-one thousand, seven hundred sixty".