72116129 has 2 divisors, whose sum is σ = 72116130. Its totient is φ = 72116128.

The previous prime is 72116123. The next prime is 72116131. The reversal of 72116129 is 92161127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51093904 + 21022225 = 7148^2 + 4585^2 .

It is a cyclic number.

It is not a de Polignac number, because 72116129 - 2¹⁶ = 72050593 is a prime.

It is a Sophie Germain prime.

Together with 72116131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72116123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36058064 + 36058065.

It is an arithmetic number, because the mean of its divisors is an integer number (36058065).

Almost surely, 2^72116129 is an apocalyptic number.

It is an amenable number.

72116129 is a deficient number, since it is larger than the sum of its proper divisors (1).

72116129 is an equidigital number, since it uses as much as digits as its factorization.

72116129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 29.

The square root of 72116129 is about 8492.1215841508. The cubic root of 72116129 is about 416.2403093332.

The spelling of 72116129 in words is "seventy-two million, one hundred sixteen thousand, one hundred twenty-nine".