272368378000 has 80 divisors (see below), whose sum is σ = 671013164016. Its totient is φ = 106891699200.

The previous prime is 272368377977. The next prime is 272368378013. The reversal of 272368378000 is 873863272.

272368378000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24985492624 + 247382885376 = 158068^2 + 497376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178757 + ... + 1390756.

Almost surely, 2^272368378000 is an apocalyptic number.

272368378000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272368378000 is an abundant number, since it is smaller than the sum of its proper divisors (398644786016).

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

272368378000 is a wasteful number, since it uses less digits than its factorization.

272368378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569589 (or 2569573 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 272368378000 in words is "two hundred seventy-two billion, three hundred sixty-eight million, three hundred seventy-eight thousand".