272942272800 has 486 divisors, whose sum is σ = 990940312089. Its totient is φ = 70692211200.

The previous prime is 272942272777. The next prime is 272942272807. The reversal of 272942272800 is 8272249272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

272942272800 is digitally balanced in base 3, 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 2 ways, for example, as 267483427344 + 5458845456 = 517188^2 + 73884^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=369420.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (272942272807) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2083528735 + ... + 2083528865.

Almost surely, 2^272942272800 is an apocalyptic number.

272942272800 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 272942272800

272942272800 is an abundant number, since it is smaller than the sum of its proper divisors (717998039289).

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

272942272800 is a wasteful number, since it uses less digits than its factorization.

272942272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 272942272800 in words is "two hundred seventy-two billion, nine hundred forty-two million, two hundred seventy-two thousand, eight hundred".