272968000 has 112 divisors (see below), whose sum is σ = 683514000. Its totient is φ = 107980800.

The previous prime is 272967973. The next prime is 272968001. The reversal of 272968000 is 869272.

It can be written as a sum of positive squares in 8 ways, for example, as 77862976 + 195105024 = 8824^2 + 13968^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272968001) 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, 1191886 + ... + 1192114.

Almost surely, 2^272968000 is an apocalyptic number.

272968000 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 272968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341757000).

272968000 is an abundant number, since it is smaller than the sum of its proper divisors (410546000).

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

272968000 is a wasteful number, since it uses less digits than its factorization.

272968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 272968000 is about 16521.7432494274. The cubic root of 272968000 is about 648.6900640473.

The spelling of 272968000 in words is "two hundred seventy-two million, nine hundred sixty-eight thousand".