76333728 has 48 divisors (see below), whose sum is σ = 203787360. Its totient is φ = 25011456.

The previous prime is 76333667. The next prime is 76333739. The reversal of 76333728 is 82733367.

It is a tau number, because it is divible by the number of its divisors (48).

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, 1075 + ... + 12402.

It is an arithmetic number, because the mean of its divisors is an integer number (4245570).

Almost surely, 2^76333728 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 76333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101893680).

76333728 is an abundant number, since it is smaller than the sum of its proper divisors (127453632).

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

76333728 is a wasteful number, since it uses less digits than its factorization.

76333728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13549 (or 13541 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 76333728 is about 8736.9175342337. The cubic root of 76333728 is about 424.2014587911.

The spelling of 76333728 in words is "seventy-six million, three hundred thirty-three thousand, seven hundred twenty-eight".