75992 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 30624.

The previous prime is 75991. The next prime is 75997. The reversal of 75992 is 29957.

75992 = T₈ + T₉ + ... + T₇₆.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁵ + 5³ + 9 + 9⁵ + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1259 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷⁵⁹⁹² 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 75992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

75992 is an abundant number, since it is smaller than the sum of its proper divisors (96808).

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

75992 is a wasteful number, since it uses less digits than its factorization.

75992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its digits is 5670, while the sum is 32.

The square root of 75992 is about 275.6664651350. Note that the first 3 decimals coincide. The cubic root of 75992 is about 42.3567495365.

The spelling of 75992 in words is "seventy-five thousand, nine hundred ninety-two".