272912100 has 72 divisors (see below), whose sum is σ = 797532288. Its totient is φ = 72048000.

The previous prime is 272912053. The next prime is 272912117. The reversal of 272912100 is 1219272.

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 23 ways as a sum of consecutive naturals, for example, 25797 + ... + 34803.

Almost surely, 2^272912100 is an apocalyptic number.

272912100 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 272912100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398766144).

272912100 is an abundant number, since it is smaller than the sum of its proper divisors (524620188).

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

272912100 is a wasteful number, since it uses less digits than its factorization.

272912100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 272912100 is about 16520.0514527044. The cubic root of 272912100 is about 648.6457801628.

The spelling of 272912100 in words is "two hundred seventy-two million, nine hundred twelve thousand, one hundred".