76141128 has 64 divisors (see below), whose sum is σ = 222197760. Its totient is φ = 21289536.

The previous prime is 76141127. The next prime is 76141139. The reversal of 76141128 is 82114167.

It is a super-2 number, since 2×76141128² = 11594942746224768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 76141095 and 76141104.

It is not an unprimeable number, because it can be changed into a prime (76141127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3075 + ... + 12717.

It is an arithmetic number, because the mean of its divisors is an integer number (3471840).

Almost surely, 2^76141128 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 76141128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111098880).

76141128 is an abundant number, since it is smaller than the sum of its proper divisors (146056632).

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

76141128 is a wasteful number, since it uses less digits than its factorization.

76141128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9702 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 76141128 is about 8725.8883788414. Note that the first 3 decimals coincide. The cubic root of 76141128 is about 423.8443863503.

The spelling of 76141128 in words is "seventy-six million, one hundred forty-one thousand, one hundred twenty-eight".