272035760720000 has 320 divisors, whose sum is σ = 715319231573760. Its totient is φ = 102855191040000.

The previous prime is 272035760719991. The next prime is 272035760720011. The reversal of 272035760720000 is 27067530272.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×272035760720000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 272035760720000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105364514 + ... + 107915486.

It is an arithmetic number, because the mean of its divisors is an integer number (2235372598668).

Almost surely, 2^{272035760720000} is an apocalyptic number.

272035760720000 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 272035760720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357659615786880).

272035760720000 is an abundant number, since it is smaller than the sum of its proper divisors (443283470853760).

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

272035760720000 is an equidigital number, since it uses as much as digits as its factorization.

272035760720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551081 (or 2551054 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 41.

The spelling of 272035760720000 in words is "two hundred seventy-two trillion, thirty-five billion, seven hundred sixty million, seven hundred twenty thousand".