272342140171360 has 288 divisors, whose sum is σ = 768566970243072. Its totient is φ = 90880645524480.

The previous prime is 272342140171351. The next prime is 272342140171363. The reversal of 272342140171360 is 63171041243272.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272342140171363) 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 47 ways as a sum of consecutive naturals, for example, 93977665 + ... + 96832255.

It is an arithmetic number, because the mean of its divisors is an integer number (2668635313344).

Almost surely, 2^{272342140171360} is an apocalyptic number.

272342140171360 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 272342140171360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384283485121536).

272342140171360 is an abundant number, since it is smaller than the sum of its proper divisors (496224830071712).

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

272342140171360 is a wasteful number, since it uses less digits than its factorization.

272342140171360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854946 (or 2854931 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 272342140171360 in words is "two hundred seventy-two trillion, three hundred forty-two billion, one hundred forty million, one hundred seventy-one thousand, three hundred sixty".