71723540040 has 128 divisors (see below), whose sum is σ = 227358489600. Its totient is φ = 18050584320.

The previous prime is 71723540023. The next prime is 71723540041. The reversal of 71723540040 is 4004532717.

It is a junction number, because it is equal to n+sod(n) for n = 71723539983 and 71723540010.

It is not an unprimeable number, because it can be changed into a prime (71723540041) 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, 539835 + ... + 659445.

It is an arithmetic number, because the mean of its divisors is an integer number (1776238200).

Almost surely, 2^71723540040 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 71723540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113679244800).

71723540040 is an abundant number, since it is smaller than the sum of its proper divisors (155634949560).

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

71723540040 is a wasteful number, since it uses less digits than its factorization.

71723540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119907 (or 119903 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 71723540040 in words is "seventy-one billion, seven hundred twenty-three million, five hundred forty thousand, forty".