83745792 has 176 divisors, whose sum is σ = 268238880. Its totient is φ = 25657344.

The previous prime is 83745751. The next prime is 83745799. The reversal of 83745792 is 29754738.

83745792 is a `hidden beast` number, since 8 + 3 + 74 + 579 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83745799) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 359308 + ... + 359540.

Almost surely, 2^83745792 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 83745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119440).

83745792 is an abundant number, since it is smaller than the sum of its proper divisors (184493088).

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

83745792 is a wasteful number, since it uses less digits than its factorization.

83745792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 83745792 is about 9151.2726983737. The cubic root of 83745792 is about 437.5096783709.

The spelling of 83745792 in words is "eighty-three million, seven hundred forty-five thousand, seven hundred ninety-two".