273972000 has 288 divisors, whose sum is σ = 965502720. Its totient is φ = 67891200.

The previous prime is 273971989. The next prime is 273972007. The reversal of 273972000 is 279372.

273972000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (273972007) 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 47 ways as a sum of consecutive naturals, for example, 3467961 + ... + 3468039.

It is an arithmetic number, because the mean of its divisors is an integer number (3352440).

Almost surely, 2^273972000 is an apocalyptic number.

273972000 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 273972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482751360).

273972000 is an abundant number, since it is smaller than the sum of its proper divisors (691530720).

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

273972000 is a wasteful number, since it uses less digits than its factorization.

273972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 273972000 is about 16552.0995647078. The cubic root of 273972000 is about 649.4844037476.

The spelling of 273972000 in words is "two hundred seventy-three million, nine hundred seventy-two thousand".