272728224 has 72 divisors (see below), whose sum is σ = 785453760. Its totient is φ = 89751168.

The previous prime is 272728213. The next prime is 272728243. The reversal of 272728224 is 422827272.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16759 + ... + 28745.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2^272728224 is an apocalyptic number.

272728224 is a gapful number since it is divisible by the number (24) 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 272728224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392726880).

272728224 is an abundant number, since it is smaller than the sum of its proper divisors (512725536).

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

272728224 is a wasteful number, since it uses less digits than its factorization.

272728224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12082 (or 12071 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 272728224 is about 16514.4852780824. The cubic root of 272728224 is about 648.5000712357.

The spelling of 272728224 in words is "two hundred seventy-two million, seven hundred twenty-eight thousand, two hundred twenty-four".