272731040 has 96 divisors (see below), whose sum is σ = 662981760. Its totient is φ = 105985024.

The previous prime is 272731031. The next prime is 272731049. The reversal of 272731040 is 40137272.

272731040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (272731031) and next prime (272731049).

It is not an unprimeable number, because it can be changed into a prime (272731049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576394 + ... + 1576566.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2^272731040 is an apocalyptic number.

272731040 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 272731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331490880).

272731040 is an abundant number, since it is smaller than the sum of its proper divisors (390250720).

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

272731040 is a wasteful number, since it uses less digits than its factorization.

272731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 272731040 is about 16514.5705363476. The cubic root of 272731040 is about 648.5023032134.

The spelling of 272731040 in words is "two hundred seventy-two million, seven hundred thirty-one thousand, forty".