92736768 has 72 divisors (see below), whose sum is σ = 261370368. Its totient is φ = 29089792.

The previous prime is 92736733. The next prime is 92736773. The reversal of 92736768 is 86763729.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9505 + ... + 16607.

It is an arithmetic number, because the mean of its divisors is an integer number (3630144).

Almost surely, 2^92736768 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 92736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130685184).

92736768 is an abundant number, since it is smaller than the sum of its proper divisors (168633600).

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

92736768 is a wasteful number, since it uses less digits than its factorization.

92736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7125 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 92736768 is about 9629.9931464150. The cubic root of 92736768 is about 452.6376256894.

The spelling of 92736768 in words is "ninety-two million, seven hundred thirty-six thousand, seven hundred sixty-eight".