83043072 has 216 divisors, whose sum is σ = 289103360. Its totient is φ = 22394880.

The previous prime is 83043071. The next prime is 83043089. The reversal of 83043072 is 27034038.

It is not an unprimeable number, because it can be changed into a prime (83043071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306297 + ... + 306567.

Almost surely, 2^83043072 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 83043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144551680).

83043072 is an abundant number, since it is smaller than the sum of its proper divisors (206060288).

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

83043072 is a wasteful number, since it uses less digits than its factorization.

83043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 83043072 is about 9112.7971556488. The cubic root of 83043072 is about 436.2825091605.

The spelling of 83043072 in words is "eighty-three million, forty-three thousand, seventy-two".