80075232 has 72 divisors (see below), whose sum is σ = 235085760. Its totient is φ = 25827840.

The previous prime is 80075221. The next prime is 80075243. The reversal of 80075232 is 23257008.

It is an interprime number because it is at equal distance from previous prime (80075221) and next prime (80075243).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 80075196 and 80075205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4444 + ... + 13412.

It is an arithmetic number, because the mean of its divisors is an integer number (3265080).

Almost surely, 2^80075232 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 80075232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117542880).

80075232 is an abundant number, since it is smaller than the sum of its proper divisors (155010528).

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

80075232 is a wasteful number, since it uses less digits than its factorization.

80075232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 80075232 is about 8948.4765183801. The cubic root of 80075232 is about 431.0219643811.

The spelling of 80075232 in words is "eighty million, seventy-five thousand, two hundred thirty-two".