72352986054272 has 640 divisors, whose sum is σ = 187567979944320. Its totient is φ = 27791843143680.

The previous prime is 72352986054169. The next prime is 72352986054277. The reversal of 72352986054272 is 27245068925327.

It is not an unprimeable number, because it can be changed into a prime (72352986054277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29860909253 + ... + 29860911675.

It is an arithmetic number, because the mean of its divisors is an integer number (293074968663).

Almost surely, 2^{72352986054272} 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 72352986054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93783989972160).

72352986054272 is an abundant number, since it is smaller than the sum of its proper divisors (115214993890048).

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

72352986054272 is an frugal number, since it uses more digits than its factorization.

72352986054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 72352986054272 in words is "seventy-two trillion, three hundred fifty-two billion, nine hundred eighty-six million, fifty-four thousand, two hundred seventy-two".