83272 has 16 divisors (see below), whose sum is σ = 178560. Its totient is φ = 35664.

The previous prime is 83269. The next prime is 83273. The reversal of 83272 is 27238.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (83273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2⁸³²⁷² is an apocalyptic number.

It is an amenable number.

83272 is an abundant number, since it is smaller than the sum of its proper divisors (95288).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

83272 is a wasteful number, since it uses less digits than its factorization.

83272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1496 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 83272 is about 288.5688825913. The cubic root of 83272 is about 43.6683046864.

The spelling of 83272 in words is "eighty-three thousand, two hundred seventy-two".