272084100 has 72 divisors (see below), whose sum is σ = 789636960. Its totient is φ = 72334080.

The previous prime is 272084083. The next prime is 272084129. The reversal of 272084100 is 1480272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112504 + ... + 114896.

It is an arithmetic number, because the mean of its divisors is an integer number (10967180).

Almost surely, 2^272084100 is an apocalyptic number.

272084100 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 272084100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394818480).

272084100 is an abundant number, since it is smaller than the sum of its proper divisors (517552860).

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

272084100 is a wasteful number, since it uses less digits than its factorization.

272084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 272084100 is about 16494.9719611765. The cubic root of 272084100 is about 647.9891306666.

The spelling of 272084100 in words is "two hundred seventy-two million, eighty-four thousand, one hundred".