75988 has 18 divisors (see below), whose sum is σ = 147098. Its totient is φ = 34320.

The previous prime is 75983. The next prime is 75989. The reversal of 75988 is 88957.

75988 = T₁₁₂ + T₁₁₃ + ... + T₁₂₂.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 17424 = 242^2 + 132^2 .

It is a super-2 number, since 2×75988² = 11548352288, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75983) by changing a digit.

75988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406 + ... + 562.

2⁷⁵⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

75988 is a deficient number, since it is larger than the sum of its proper divisors (71110).

75988 is a wasteful number, since it uses less digits than its factorization.

75988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 75988 is about 275.6592098951. The cubic root of 75988 is about 42.3560063444.

It can be divided in two parts, 7 and 5988, that added together give a palindrome (5995).

The spelling of 75988 in words is "seventy-five thousand, nine hundred eighty-eight".