83758752 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 21738240.

The previous prime is 83758733. The next prime is 83758817. The reversal of 83758752 is 25785738.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83758698 and 83758707.

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 31 ways as a sum of consecutive naturals, for example, 65899 + ... + 67157.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^83758752 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 83758752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

83758752 is an abundant number, since it is smaller than the sum of its proper divisors (221060448).

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

83758752 is a wasteful number, since it uses less digits than its factorization.

83758752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 83758752 is about 9151.9807692106. The cubic root of 83758752 is about 437.5322460042.

The spelling of 83758752 in words is "eighty-three million, seven hundred fifty-eight thousand, seven hundred fifty-two".