83072 has 32 divisors (see below), whose sum is σ = 183600. Its totient is φ = 37120.

The previous prime is 83071. The next prime is 83077. The reversal of 83072 is 27038.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 8⁵ + 3⁶ + 0 + 7⁵ + 2¹⁵ .

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 (83071) 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, 1379 + ... + 1437.

2⁸³⁰⁷² 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 83072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800).

83072 is an abundant number, since it is smaller than the sum of its proper divisors (100528).

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

83072 is a wasteful number, since it uses less digits than its factorization.

83072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 83072 is about 288.2221365544. Note that the first 3 decimals coincide. The cubic root of 83072 is about 43.6333162855.

The spelling of 83072 in words is "eighty-three thousand, seventy-two".