272272 has 80 divisors (see below), whose sum is σ = 749952. Its totient is φ = 92160.

The previous prime is 272269. The next prime is 272287.

272272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (784) is a multiple of the sum of its prime factors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16008 + ... + 16024.

2²⁷²²⁷² is an apocalyptic number.

272272 is a gapful number since it is divisible by the number (22) 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 272272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

272272 is an abundant number, since it is smaller than the sum of its proper divisors (477680).

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

272272 is a wasteful number, since it uses less digits than its factorization.

272272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

The product of its digits is 784, while the sum is 22.

The square root of 272272 is about 521.7968953530. The cubic root of 272272 is about 64.8138262424.

The spelling of 272272 in words is "two hundred seventy-two thousand, two hundred seventy-two", and thus it is an iban number.