71703740160 has 1008 divisors, whose sum is σ = 290503450944. Its totient is φ = 16817061888.

The previous prime is 71703740131. The next prime is 71703740161. The reversal of 71703740160 is 6104730717.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71703740161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 279002752 + ... + 279003008.

It is an arithmetic number, because the mean of its divisors is an integer number (288197868).

Almost surely, 2^71703740160 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 71703740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145251725472).

71703740160 is an abundant number, since it is smaller than the sum of its proper divisors (218799710784).

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

71703740160 is a wasteful number, since it uses less digits than its factorization.

71703740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 71703740160 in words is "seventy-one billion, seven hundred three million, seven hundred forty thousand, one hundred sixty".