272827930752 has 768 divisors, whose sum is σ = 918866592000. Its totient is φ = 79194931200.

The previous prime is 272827930717. The next prime is 272827930789. The reversal of 272827930752 is 257039728272.

272827930752 is a `hidden beast` number, since 2 + 7 + 282 + 7 + 9 + 307 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3065482324 + ... + 3065482412.

It is an arithmetic number, because the mean of its divisors is an integer number (1196440875).

Almost surely, 2^272827930752 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 272827930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459433296000).

272827930752 is an abundant number, since it is smaller than the sum of its proper divisors (646038661248).

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

272827930752 is a wasteful number, since it uses less digits than its factorization.

272827930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 272827930752 in words is "two hundred seventy-two billion, eight hundred twenty-seven million, nine hundred thirty thousand, seven hundred fifty-two".