272982072 has 64 divisors (see below), whose sum is σ = 746444160. Its totient is φ = 82505600.

The previous prime is 272982071. The next prime is 272982077. The reversal of 272982072 is 270289272.

It is a self number, because there is not a number n which added to its sum of digits gives 272982072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272982071) 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, 120583 + ... + 122825.

It is an arithmetic number, because the mean of its divisors is an integer number (11663190).

Almost surely, 2^272982072 is an apocalyptic number.

272982072 is a gapful number since it is divisible by the number (22) 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 272982072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

272982072 is an abundant number, since it is smaller than the sum of its proper divisors (473462088).

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

272982072 is a wasteful number, since it uses less digits than its factorization.

272982072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 272982072 is about 16522.1691069908. The cubic root of 272982072 is about 648.7012109091.

The spelling of 272982072 in words is "two hundred seventy-two million, nine hundred eighty-two thousand, seventy-two".