75955116 has 48 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 23696640.

The previous prime is 75955111. The next prime is 75955169. The reversal of 75955116 is 61155957.

It is not an unprimeable number, because it can be changed into a prime (75955111) 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, 39661 + ... + 41531.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^75955116 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 75955116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

75955116 is an abundant number, since it is smaller than the sum of its proper divisors (112742484).

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

75955116 is a wasteful number, since it uses less digits than its factorization.

75955116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its digits is 47250, while the sum is 39.

The square root of 75955116 is about 8715.2232329413. The cubic root of 75955116 is about 423.4989557303.

The spelling of 75955116 in words is "seventy-five million, nine hundred fifty-five thousand, one hundred sixteen".