76082136 has 128 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 22224384.

The previous prime is 76082087. The next prime is 76082147. The reversal of 76082136 is 63128067.

It is a junction number, because it is equal to n+sod(n) for n = 76082097 and 76082106.

It is a congruent number.

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, 710995 + ... + 711101.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 2^76082136 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 76082136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

76082136 is an abundant number, since it is smaller than the sum of its proper divisors (139468584).

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

76082136 is a wasteful number, since it uses less digits than its factorization.

76082136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 76082136 is about 8722.5074376580. The cubic root of 76082136 is about 423.7348971741.

The spelling of 76082136 in words is "seventy-six million, eighty-two thousand, one hundred thirty-six".