71201117791872 has 64 divisors (see below), whose sum is σ = 210142187937600. Its totient is φ = 23733705929472.

The previous prime is 71201117791849. The next prime is 71201117791891. The reversal of 71201117791872 is 27819771110217.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10301084188 + ... + 10301091099.

It is an arithmetic number, because the mean of its divisors is an integer number (3283471686525).

Almost surely, 2^{71201117791872} is an apocalyptic number.

71201117791872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71201117791872 is an abundant number, since it is smaller than the sum of its proper divisors (138941070145728).

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

71201117791872 is a wasteful number, since it uses less digits than its factorization.

71201117791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20602175310 (or 20602175292 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 54.

The spelling of 71201117791872 in words is "seventy-one trillion, two hundred one billion, one hundred seventeen million, seven hundred ninety-one thousand, eight hundred seventy-two".