272679900 has 144 divisors (see below), whose sum is σ = 818947584. Its totient is φ = 70008320.

The previous prime is 272679833. The next prime is 272679917. The reversal of 272679900 is 9976272.

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 47 ways as a sum of consecutive naturals, for example, 1170184 + ... + 1170416.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^272679900 is an apocalyptic number.

272679900 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 272679900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

272679900 is an abundant number, since it is smaller than the sum of its proper divisors (546267684).

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

272679900 is a wasteful number, since it uses less digits than its factorization.

272679900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 272679900 is about 16513.0221340613. The cubic root of 272679900 is about 648.4617669633.

The spelling of 272679900 in words is "two hundred seventy-two million, six hundred seventy-nine thousand, nine hundred".