272027419200 has 504 divisors, whose sum is σ = 1010175365472. Its totient is φ = 71997050880.

The previous prime is 272027419159. The next prime is 272027419201. The reversal of 272027419200 is 2914720272.

It is a super-2 number, since 2×272027419200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (272027419201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53263047 + ... + 53268153.

Almost surely, 2^272027419200 is an apocalyptic number.

272027419200 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 272027419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505087682736).

272027419200 is an abundant number, since it is smaller than the sum of its proper divisors (738147946272).

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

272027419200 is a wasteful number, since it uses less digits than its factorization.

272027419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 272027419200 in words is "two hundred seventy-two billion, twenty-seven million, four hundred nineteen thousand, two hundred".