80352 has 60 divisors (see below), whose sum is σ = 243936. Its totient is φ = 25920.

The previous prime is 80347. The next prime is 80363. The reversal of 80352 is 25308.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 8 + 0 + 3⁷ + 5⁷ + 2⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2577 + ... + 2607.

2⁸⁰³⁵² 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 80352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968).

80352 is an abundant number, since it is smaller than the sum of its proper divisors (163584).

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

80352 is a wasteful number, since it uses less digits than its factorization.

80352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 80352 is about 283.4642834644. The cubic root of 80352 is about 43.1517980889.

The spelling of 80352 in words is "eighty thousand, three hundred fifty-two".