272815840 has 48 divisors (see below), whose sum is σ = 703125360. Its totient is φ = 99205120.

The previous prime is 272815817. The next prime is 272815849. The reversal of 272815840 is 48518272.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 272815840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272815849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75745 + ... + 79264.

It is an arithmetic number, because the mean of its divisors is an integer number (14648445).

Almost surely, 2^272815840 is an apocalyptic number.

272815840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272815840 is an abundant number, since it is smaller than the sum of its proper divisors (430309520).

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

272815840 is a wasteful number, since it uses less digits than its factorization.

272815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155035 (or 155027 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 272815840 is about 16517.1377665744. The cubic root of 272815840 is about 648.5695089809.

The spelling of 272815840 in words is "two hundred seventy-two million, eight hundred fifteen thousand, eight hundred forty".