272066100 has 72 divisors (see below), whose sum is σ = 800136288. Its totient is φ = 71356800.

The previous prime is 272066077. The next prime is 272066101. The reversal of 272066100 is 1660272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272066101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10867 + ... + 25733.

It is an arithmetic number, because the mean of its divisors is an integer number (11113004).

Almost surely, 2^272066100 is an apocalyptic number.

272066100 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 272066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400068144).

272066100 is an abundant number, since it is smaller than the sum of its proper divisors (528070188).

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

272066100 is a wasteful number, since it uses less digits than its factorization.

272066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14945 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 272066100 is about 16494.4263313399. The cubic root of 272066100 is about 647.9748408918.

The spelling of 272066100 in words is "two hundred seventy-two million, sixty-six thousand, one hundred".