75816 has 56 divisors (see below), whose sum is σ = 229530. Its totient is φ = 23328.

The previous prime is 75797. The next prime is 75821. The reversal of 75816 is 61857.

75816 = T₆₃ + T₆₄ + ... + T₈₈.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 2916 = 270^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 75816.

It is an unprimeable number.

75816 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 (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5826 + ... + 5838.

2⁷⁵⁸¹⁶ 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 75816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114765).

75816 is an abundant number, since it is smaller than the sum of its proper divisors (153714).

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

75816 is a wasteful number, since it uses less digits than its factorization.

75816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 18 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 75816 is about 275.3470537340. The cubic root of 75816 is about 42.3240243790.

The spelling of 75816 in words is "seventy-five thousand, eight hundred sixteen".