272882000 has 80 divisors (see below), whose sum is σ = 674099712. Its totient is φ = 106793600.

The previous prime is 272881991. The next prime is 272882059. The reversal of 272882000 is 288272.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 92549 + ... + 95451.

Almost surely, 2^272882000 is an apocalyptic number.

272882000 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 272882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337049856).

272882000 is an abundant number, since it is smaller than the sum of its proper divisors (401217712).

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

272882000 is a wasteful number, since it uses less digits than its factorization.

272882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 272882000 is about 16519.1404134719. The cubic root of 272882000 is about 648.6219324895.

The spelling of 272882000 in words is "two hundred seventy-two million, eight hundred eighty-two thousand".