8272209792 has 384 divisors, whose sum is σ = 29536980480. Its totient is φ = 2021376000.

The previous prime is 8272209763. The next prime is 8272209811. The reversal of 8272209792 is 2979022728.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3517417 + ... + 3519767.

It is an arithmetic number, because the mean of its divisors is an integer number (76919220).

Almost surely, 2^8272209792 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 8272209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768490240).

8272209792 is an abundant number, since it is smaller than the sum of its proper divisors (21264770688).

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

8272209792 is a wasteful number, since it uses less digits than its factorization.

8272209792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 8272209792 is about 90951.6893301054. The cubic root of 8272209792 is about 2022.4316199557.

The spelling of 8272209792 in words is "eight billion, two hundred seventy-two million, two hundred nine thousand, seven hundred ninety-two".