272840160 has 96 divisors (see below), whose sum is σ = 879500160. Its totient is φ = 71059968.

The previous prime is 272840159. The next prime is 272840273. The reversal of 272840160 is 61048272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 14031 + ... + 27249.

It is an arithmetic number, because the mean of its divisors is an integer number (9161460).

Almost surely, 2^272840160 is an apocalyptic number.

272840160 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 272840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439750080).

272840160 is an abundant number, since it is smaller than the sum of its proper divisors (606660000).

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

272840160 is a wasteful number, since it uses less digits than its factorization.

272840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 272840160 is about 16517.8739552038. The cubic root of 272840160 is about 648.5887805181.

The spelling of 272840160 in words is "two hundred seventy-two million, eight hundred forty thousand, one hundred sixty".