71921779200 has 720 divisors, whose sum is σ = 281200439520. Its totient is φ = 18154782720.

The previous prime is 71921779169. The next prime is 71921779207. The reversal of 71921779200 is 297712917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71921779207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59096992 + ... + 59098208.

It is an arithmetic number, because the mean of its divisors is an integer number (390556166).

Almost surely, 2^71921779200 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 71921779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140600219760).

71921779200 is an abundant number, since it is smaller than the sum of its proper divisors (209278660320).

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

71921779200 is a wasteful number, since it uses less digits than its factorization.

71921779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 71921779200 in words is "seventy-one billion, nine hundred twenty-one million, seven hundred seventy-nine thousand, two hundred".