76129 has 2 divisors, whose sum is σ = 76130. Its totient is φ = 76128.

The previous prime is 76123. The next prime is 76147. The reversal of 76129 is 92167.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 1600 = 273^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 76129 - 2⁷ = 76001 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

76129 is a lucky number.

It is equal to p₇₄₉₅ and since 76129 and 7495 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (76123) 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 as a sum of consecutive naturals, namely, 38064 + 38065.

It is an arithmetic number, because the mean of its divisors is an integer number (38065).

2⁷⁶¹²⁹ is an apocalyptic number.

It is an amenable number.

76129 is a deficient number, since it is larger than the sum of its proper divisors (1).

76129 is an equidigital number, since it uses as much as digits as its factorization.

76129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

The square root of 76129 is about 275.9148419350. The cubic root of 76129 is about 42.3821881397.

The spelling of 76129 in words is "seventy-six thousand, one hundred twenty-nine".