273216000 has 160 divisors (see below), whose sum is σ = 909013248. Its totient is φ = 72806400.

The previous prime is 273215983. The next prime is 273216001. The reversal of 273216000 is 612372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273216001) 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, 191289 + ... + 192711.

Almost surely, 2^273216000 is an apocalyptic number.

273216000 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 273216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454506624).

273216000 is an abundant number, since it is smaller than the sum of its proper divisors (635797248).

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

273216000 is an equidigital number, since it uses as much as digits as its factorization.

273216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 273216000 is about 16529.2468067967. The cubic root of 273216000 is about 648.8864563478.

Adding to 273216000 its reverse (612372), we get a palindrome (273828372).

The spelling of 273216000 in words is "two hundred seventy-three million, two hundred sixteen thousand".