272289152 has 64 divisors (see below), whose sum is σ = 577075200. Its totient is φ = 127609344.

The previous prime is 272289137. The next prime is 272289169. The reversal of 272289152 is 251982272.

It is a happy number.

272289152 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 249953 + ... + 251039.

It is an arithmetic number, because the mean of its divisors is an integer number (9016800).

Almost surely, 2^272289152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288537600).

272289152 is an abundant number, since it is smaller than the sum of its proper divisors (304786048).

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

272289152 is a wasteful number, since it uses less digits than its factorization.

272289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 272289152 is about 16501.1863815909. The cubic root of 272289152 is about 648.1518721405.

The spelling of 272289152 in words is "two hundred seventy-two million, two hundred eighty-nine thousand, one hundred fifty-two".