75814128 has 60 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 23326848.

The previous prime is 75814121. The next prime is 75814157. The reversal of 75814128 is 82141857.

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

It is a junction number, because it is equal to n+sod(n) for n = 75814092 and 75814101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75814121) 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 11 ways as a sum of consecutive naturals, for example, 18378 + ... + 22121.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^75814128 is an apocalyptic number.

75814128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

75814128 is an abundant number, since it is smaller than the sum of its proper divisors (152686872).

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

75814128 is a wasteful number, since it uses less digits than its factorization.

75814128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40526 (or 40517 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 75814128 is about 8707.1308707289. The cubic root of 75814128 is about 423.2367603023.

The spelling of 75814128 in words is "seventy-five million, eight hundred fourteen thousand, one hundred twenty-eight".