71996940288 has 896 divisors, whose sum is σ = 271564608000. Its totient is φ = 18728091648.

The previous prime is 71996940269. The next prime is 71996940289. The reversal of 71996940288 is 88204969917.

71996940288 is a `hidden beast` number, since 7 + 1 + 99 + 69 + 402 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71996940289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986259420 + ... + 986259492.

It is an arithmetic number, because the mean of its divisors is an integer number (303085500).

Almost surely, 2^71996940288 is an apocalyptic number.

71996940288 is a gapful number since it is divisible by the number (78) 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 71996940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135782304000).

71996940288 is an abundant number, since it is smaller than the sum of its proper divisors (199567667712).

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

71996940288 is an equidigital number, since it uses as much as digits as its factorization.

71996940288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 71996940288 in words is "seventy-one billion, nine hundred ninety-six million, nine hundred forty thousand, two hundred eighty-eight".