71723111040 has 512 divisors, whose sum is σ = 296256960000. Its totient is φ = 16392499200.

The previous prime is 71723111017. The next prime is 71723111051. The reversal of 71723111040 is 4011132717.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71723110995 and 71723111013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5920990 + ... + 5933090.

It is an arithmetic number, because the mean of its divisors is an integer number (578626875).

Almost surely, 2^71723111040 is an apocalyptic number.

71723111040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71723111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148128480000).

71723111040 is an abundant number, since it is smaller than the sum of its proper divisors (224533848960).

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

71723111040 is a wasteful number, since it uses less digits than its factorization.

71723111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12150 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 71723111040 its reverse (4011132717), we get a palindrome (75734243757).

The spelling of 71723111040 in words is "seventy-one billion, seven hundred twenty-three million, one hundred eleven thousand, forty".