84272 has 20 divisors (see below), whose sum is σ = 171120. Its totient is φ = 40128.

The previous prime is 84263. The next prime is 84299. The reversal of 84272 is 27248.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

84272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (8556).

2⁸⁴²⁷² 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 84272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85560).

84272 is an abundant number, since it is smaller than the sum of its proper divisors (86848).

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

84272 is a wasteful number, since it uses less digits than its factorization.

84272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

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

The square root of 84272 is about 290.2964002533. The cubic root of 84272 is about 43.8424114680.

The spelling of 84272 in words is "eighty-four thousand, two hundred seventy-two".