83252736 has 240 divisors, whose sum is σ = 287258400. Its totient is φ = 22708224.

The previous prime is 83252731. The next prime is 83252749. The reversal of 83252736 is 63725238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83252736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83252731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935380 + ... + 935468.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910).

Almost surely, 2^83252736 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 83252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

83252736 is an abundant number, since it is smaller than the sum of its proper divisors (204005664).

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

83252736 is a wasteful number, since it uses less digits than its factorization.

83252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 83252736 is about 9124.2937260919. The cubic root of 83252736 is about 436.6493704342.

The spelling of 83252736 in words is "eighty-three million, two hundred fifty-two thousand, seven hundred thirty-six".