76028192 has 48 divisors (see below), whose sum is σ = 155083320. Its totient is φ = 36661248.

The previous prime is 76028191. The next prime is 76028201. The reversal of 76028192 is 29182067.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75968656 + 59536 = 8716^2 + 244^2 .

It is not an unprimeable number, because it can be changed into a prime (76028191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185684 + ... + 186092.

Almost surely, 2^76028192 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 76028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77541660).

76028192 is an abundant number, since it is smaller than the sum of its proper divisors (79055128).

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

76028192 is a wasteful number, since it uses less digits than its factorization.

76028192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 76028192 is about 8719.4146592532. The cubic root of 76028192 is about 423.6347275377.

The spelling of 76028192 in words is "seventy-six million, twenty-eight thousand, one hundred ninety-two".