8201972592 has 720 divisors, whose sum is σ = 29930584320. Its totient is φ = 2068070400.

The previous prime is 8201972563. The next prime is 8201972599. The reversal of 8201972592 is 2952791028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201972599) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 200048092 + ... + 200048132.

It is an arithmetic number, because the mean of its divisors is an integer number (41570256).

Almost surely, 2^8201972592 is an apocalyptic number.

8201972592 is a gapful number since it is divisible by the number (82) 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 8201972592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965292160).

8201972592 is an abundant number, since it is smaller than the sum of its proper divisors (21728611728).

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

8201972592 is a wasteful number, since it uses less digits than its factorization.

8201972592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 8201972592 is about 90564.7425436632. The cubic root of 8201972592 is about 2016.6913610466.

The spelling of 8201972592 in words is "eight billion, two hundred one million, nine hundred seventy-two thousand, five hundred ninety-two".