71944941096 has 192 divisors, whose sum is σ = 232720603200. Its totient is φ = 20534000256.

The previous prime is 71944941037. The next prime is 71944941121. The reversal of 71944941096 is 69014944917.

71944941096 is a `hidden beast` number, since 71 + 9 + 449 + 41 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11882806 + ... + 11888858.

It is an arithmetic number, because the mean of its divisors is an integer number (1212086475).

Almost surely, 2^71944941096 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 71944941096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116360301600).

71944941096 is an abundant number, since it is smaller than the sum of its proper divisors (160775662104).

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

71944941096 is a wasteful number, since it uses less digits than its factorization.

71944941096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 71944941096 in words is "seventy-one billion, nine hundred forty-four million, nine hundred forty-one thousand, ninety-six".