72120565206522 has 256 divisors, whose sum is σ = 189291256627200. Its totient is φ = 19930558602240.

The previous prime is 72120565206463. The next prime is 72120565206527. The reversal of 72120565206522 is 22560256502127.

72120565206522 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 0 + 565 + 2 + 0 + 65 + 22 = 666.

It is a super-2 number, since 2×72120565206522² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72120565206527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362036898 + ... + 362236050.

It is an arithmetic number, because the mean of its divisors is an integer number (739418971200).

Almost surely, 2^{72120565206522} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72120565206522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94645628313600).

72120565206522 is an abundant number, since it is smaller than the sum of its proper divisors (117170691420678).

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

72120565206522 is a wasteful number, since it uses less digits than its factorization.

72120565206522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199498 (or 199492 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 72120565206522 in words is "seventy-two trillion, one hundred twenty billion, five hundred sixty-five million, two hundred six thousand, five hundred twenty-two".