76192164 has 168 divisors, whose sum is σ = 223103160. Its totient is φ = 22643712.

The previous prime is 76192163. The next prime is 76192189. The reversal of 76192164 is 46129167.

It can be written as a sum of positive squares in 4 ways, for example, as 29160000 + 47032164 = 5400^2 + 6858^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76192163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1437562 + ... + 1437614.

It is an arithmetic number, because the mean of its divisors is an integer number (1327995).

Almost surely, 2^76192164 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 76192164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111551580).

76192164 is an abundant number, since it is smaller than the sum of its proper divisors (146910996).

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

76192164 is a wasteful number, since it uses less digits than its factorization.

76192164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 76192164 is about 8728.8122903405. The cubic root of 76192164 is about 423.9390635698.

The spelling of 76192164 in words is "seventy-six million, one hundred ninety-two thousand, one hundred sixty-four".