272352135217800 has 768 divisors, whose sum is σ = 999696065356800. Its totient is φ = 60616512000000.

The previous prime is 272352135217793. The next prime is 272352135217801. The reversal of 272352135217800 is 8712531253272.

It is a self number, because there is not a number n which added to its sum of digits gives 272352135217800.

It is not an unprimeable number, because it can be changed into a prime (272352135217801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1164472870 + ... + 1164706730.

It is an arithmetic number, because the mean of its divisors is an integer number (1301687585100).

Almost surely, 2^{272352135217800} is an apocalyptic number.

272352135217800 is a gapful number since it is divisible by the number (20) 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 272352135217800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499848032678400).

272352135217800 is an abundant number, since it is smaller than the sum of its proper divisors (727343930139000).

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

272352135217800 is a wasteful number, since it uses less digits than its factorization.

272352135217800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234198 (or 234189 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 272352135217800 in words is "two hundred seventy-two trillion, three hundred fifty-two billion, one hundred thirty-five million, two hundred seventeen thousand, eight hundred".