272271840 has 96 divisors (see below), whose sum is σ = 861749280. Its totient is φ = 72259584.

The previous prime is 272271833. The next prime is 272271851. The reversal of 272271840 is 48172272.

272271840 = 2031² + 2032² + ... + 2094².

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

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, 108682 + ... + 111158.

It is an arithmetic number, because the mean of its divisors is an integer number (8976555).

Almost surely, 2^272271840 is an apocalyptic number.

272271840 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 272271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430874640).

272271840 is an abundant number, since it is smaller than the sum of its proper divisors (589477440).

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

272271840 is a wasteful number, since it uses less digits than its factorization.

272271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 272271840 is about 16500.6618049095. The cubic root of 272271840 is about 648.1381354652.

The spelling of 272271840 in words is "two hundred seventy-two million, two hundred seventy-one thousand, eight hundred forty".