272480000 has 180 divisors, whose sum is σ = 737520168. Its totient is φ = 99840000.

The previous prime is 272479981. The next prime is 272480003. The reversal of 272480000 is 84272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272480003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2079935 + ... + 2080065.

Almost surely, 2^272480000 is an apocalyptic number.

272480000 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 272480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368760084).

272480000 is an abundant number, since it is smaller than the sum of its proper divisors (465040168).

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

272480000 is an equidigital number, since it uses as much as digits as its factorization.

272480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 272480000 is about 16506.9682255707. The cubic root of 272480000 is about 648.3032670806.

The spelling of 272480000 in words is "two hundred seventy-two million, four hundred eighty thousand".