272304000 has 384 divisors, whose sum is σ = 1026005760. Its totient is φ = 69120000.

The previous prime is 272303989. The next prime is 272304023. The reversal of 272304000 is 403272.

It is a happy number.

272304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463970 + ... + 4464030.

It is an arithmetic number, because the mean of its divisors is an integer number (2671890).

Almost surely, 2^272304000 is an apocalyptic number.

272304000 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 272304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513002880).

272304000 is an abundant number, since it is smaller than the sum of its proper divisors (753701760).

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

272304000 is a wasteful number, since it uses less digits than its factorization.

272304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 272304000 is about 16501.6362825024. The cubic root of 272304000 is about 648.1636532244.

Adding to 272304000 its reverse (403272), we get a palindrome (272707272).

The spelling of 272304000 in words is "two hundred seventy-two million, three hundred four thousand".