71944765440 has 576 divisors, whose sum is σ = 252462583296. Its totient is φ = 17439916032.

The previous prime is 71944765429. The next prime is 71944765441. The reversal of 71944765440 is 4456744917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71944765441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673134059 + ... + 1673134101.

It is an arithmetic number, because the mean of its divisors is an integer number (438303096).

Almost surely, 2^71944765440 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 71944765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126231291648).

71944765440 is an abundant number, since it is smaller than the sum of its proper divisors (180517817856).

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

71944765440 is an equidigital number, since it uses as much as digits as its factorization.

71944765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 71944765440 in words is "seventy-one billion, nine hundred forty-four million, seven hundred sixty-five thousand, four hundred forty".