75681 has 8 divisors (see below), whose sum is σ = 112160. Its totient is φ = 50436.

The previous prime is 75679. The next prime is 75683. The reversal of 75681 is 18657.

It is an interprime number because it is at equal distance from previous prime (75679) and next prime (75683).

It is not a de Polignac number, because 75681 - 2¹ = 75679 is a prime.

It is a super-2 number, since 2×75681² = 11455227522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2803 = 75681 / (7 + 5 + 6 + 8 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1375 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (14020).

2⁷⁵⁶⁸¹ is an apocalyptic number.

It is an amenable number.

75681 is a deficient number, since it is larger than the sum of its proper divisors (36479).

75681 is a wasteful number, since it uses less digits than its factorization.

75681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2806 counting only the distinct ones).

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

The square root of 75681 is about 275.1017993398. The cubic root of 75681 is about 42.2988883567.

It can be divided in two parts, 7568 and 1, that added together give a square (7569 = 87²).

The spelling of 75681 in words is "seventy-five thousand, six hundred eighty-one".