71720340000 has 240 divisors, whose sum is σ = 236021673888. Its totient is φ = 19063296000.

The previous prime is 71720339981. The next prime is 71720340001. The reversal of 71720340000 is 4302717.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (71720340001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20218227 + ... + 20221773.

Almost surely, 2^71720340000 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 71720340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118010836944).

71720340000 is an abundant number, since it is smaller than the sum of its proper divisors (164301333888).

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

71720340000 is a wasteful number, since it uses less digits than its factorization.

71720340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

Adding to 71720340000 its reverse (4302717), we get a palindrome (71724642717).

The spelling of 71720340000 in words is "seventy-one billion, seven hundred twenty million, three hundred forty thousand".