272643671100 has 288 divisors, whose sum is σ = 863182252800. Its totient is φ = 66179635200.

The previous prime is 272643671039. The next prime is 272643671171. The reversal of 272643671100 is 1176346272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34874392 + ... + 34882208.

It is an arithmetic number, because the mean of its divisors is an integer number (2997160600).

Almost surely, 2^272643671100 is an apocalyptic number.

272643671100 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 272643671100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431591126400).

272643671100 is an abundant number, since it is smaller than the sum of its proper divisors (590538581700).

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

272643671100 is a wasteful number, since it uses less digits than its factorization.

272643671100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 272643671100 in words is "two hundred seventy-two billion, six hundred forty-three million, six hundred seventy-one thousand, one hundred".