83202752 has 28 divisors (see below), whose sum is σ = 166634160. Its totient is φ = 41216256.

The previous prime is 83202733. The next prime is 83202797. The reversal of 83202752 is 25720238.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1013 + ... + 12939.

It is an arithmetic number, because the mean of its divisors is an integer number (5951220).

Almost surely, 2^83202752 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 83202752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83317080).

83202752 is an abundant number, since it is smaller than the sum of its proper divisors (83431408).

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

83202752 is a wasteful number, since it uses less digits than its factorization.

83202752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12048 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 83202752 is about 9121.5542535250. The cubic root of 83202752 is about 436.5619664938.

The spelling of 83202752 in words is "eighty-three million, two hundred two thousand, seven hundred fifty-two".