272064 has 56 divisors (see below), whose sum is σ = 782320. Its totient is φ = 82944.

The previous prime is 272059. The next prime is 272093. The reversal of 272064 is 460272.

It is a happy number.

272064 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 272064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2442 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (13970).

2²⁷²⁰⁶⁴ is an apocalyptic number.

272064 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 272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391160).

272064 is an abundant number, since it is smaller than the sum of its proper divisors (510256).

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

272064 is a wasteful number, since it uses less digits than its factorization.

272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 272064 is about 521.5975460065. The cubic root of 272064 is about 64.7973173710.

The spelling of 272064 in words is "two hundred seventy-two thousand, sixty-four".