72998129 has 2 divisors, whose sum is σ = 72998130. Its totient is φ = 72998128.

The previous prime is 72998069. The next prime is 72998137. The reversal of 72998129 is 92189927.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65286400 + 7711729 = 8080^2 + 2777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72998129 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72998179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36499064 + 36499065.

It is an arithmetic number, because the mean of its divisors is an integer number (36499065).

Almost surely, 2^72998129 is an apocalyptic number.

It is an amenable number.

72998129 is a deficient number, since it is larger than the sum of its proper divisors (1).

72998129 is an equidigital number, since it uses as much as digits as its factorization.

72998129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 47.

The square root of 72998129 is about 8543.8942526227. The cubic root of 72998129 is about 417.9303490397.

The spelling of 72998129 in words is "seventy-two million, nine hundred ninety-eight thousand, one hundred twenty-nine".