272131920 has 160 divisors (see below), whose sum is σ = 992615040. Its totient is φ = 68290560.

The previous prime is 272131901. The next prime is 272131931. The reversal of 272131920 is 29131272.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 33015 + ... + 40425.

It is an arithmetic number, because the mean of its divisors is an integer number (6203844).

Almost surely, 2^272131920 is an apocalyptic number.

272131920 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 272131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496307520).

272131920 is an abundant number, since it is smaller than the sum of its proper divisors (720483120).

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

272131920 is a wasteful number, since it uses less digits than its factorization.

272131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 272131920 is about 16496.4214301163. The cubic root of 272131920 is about 648.0270907741.

The spelling of 272131920 in words is "two hundred seventy-two million, one hundred thirty-one thousand, nine hundred twenty".