71967760000 has 160 divisors (see below), whose sum is σ = 180291038400. Its totient is φ = 28605312000.

The previous prime is 71967759977. The next prime is 71967760009. The reversal of 71967760000 is 6776917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (71967760009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13037241 + ... + 13042759.

It is an arithmetic number, because the mean of its divisors is an integer number (1126818990).

Almost surely, 2^71967760000 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 71967760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90145519200).

71967760000 is an abundant number, since it is smaller than the sum of its proper divisors (108323278400).

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

71967760000 is an equidigital number, since it uses as much as digits as its factorization.

71967760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 43.

The spelling of 71967760000 in words is "seventy-one billion, nine hundred sixty-seven million, seven hundred sixty thousand".