71092228720968 has 2304 divisors, whose sum is σ = 276184507680000. Its totient is φ = 16814314782720.

The previous prime is 71092228720907. The next prime is 71092228720969. The reversal of 71092228720968 is 86902782229017.

71092228720968 is a `hidden beast` number, since 7 + 1 + 0 + 92 + 2 + 287 + 209 + 68 = 666.

71092228720968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (71092228720969) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52235288608 + ... + 52235289968.

It is an arithmetic number, because the mean of its divisors is an integer number (119871748125).

Almost surely, 2^{71092228720968} is an apocalyptic number.

71092228720968 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 71092228720968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138092253840000).

71092228720968 is an abundant number, since it is smaller than the sum of its proper divisors (205092278959032).

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

71092228720968 is a wasteful number, since it uses less digits than its factorization.

71092228720968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 71092228720968 in words is "seventy-one trillion, ninety-two billion, two hundred twenty-eight million, seven hundred twenty thousand, nine hundred sixty-eight".