75731 has 2 divisors, whose sum is σ = 75732. Its totient is φ = 75730.

The previous prime is 75721. The next prime is 75743. The reversal of 75731 is 13757.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (13757) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75731 - 2¹⁰ = 74707 is a prime.

It is a super-2 number, since 2×75731² = 11470368722, which contains 22 as substring.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 75697 and 75706.

It is not a weakly prime, because it can be changed into another prime (75721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37865 + 37866.

It is an arithmetic number, because the mean of its divisors is an integer number (37866).

2⁷⁵⁷³¹ is an apocalyptic number.

75731 is a deficient number, since it is larger than the sum of its proper divisors (1).

75731 is an equidigital number, since it uses as much as digits as its factorization.

75731 is an evil number, because the sum of its binary digits is even.

The product of its digits is 735, while the sum is 23.

The square root of 75731 is about 275.1926597858. The cubic root of 75731 is about 42.3082014772.

The spelling of 75731 in words is "seventy-five thousand, seven hundred thirty-one".