272279880 has 160 divisors (see below), whose sum is σ = 963547200. Its totient is φ = 68770944.

The previous prime is 272279809. The next prime is 272279881. The reversal of 272279880 is 88972272.

It is a happy number.

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 (272279881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59349 + ... + 63771.

It is an arithmetic number, because the mean of its divisors is an integer number (6022170).

Almost surely, 2^272279880 is an apocalyptic number.

272279880 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 272279880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481773600).

272279880 is an abundant number, since it is smaller than the sum of its proper divisors (691267320).

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

272279880 is a wasteful number, since it uses less digits than its factorization.

272279880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 272279880 is about 16500.9054297029. The cubic root of 272279880 is about 648.1445150934.

The spelling of 272279880 in words is "two hundred seventy-two million, two hundred seventy-nine thousand, eight hundred eighty".