72832129 has 2 divisors, whose sum is σ = 72832130. Its totient is φ = 72832128.

The previous prime is 72832127. The next prime is 72832139. The reversal of 72832129 is 92123827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71791729 + 1040400 = 8473^2 + 1020^2 .

It is a cyclic number.

It is not a de Polignac number, because 72832129 - 2¹ = 72832127 is a prime.

Together with 72832127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 72832094 and 72832103.

It is not a weakly prime, because it can be changed into another prime (72832121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36416064 + 36416065.

It is an arithmetic number, because the mean of its divisors is an integer number (36416065).

Almost surely, 2^72832129 is an apocalyptic number.

It is an amenable number.

72832129 is a deficient number, since it is larger than the sum of its proper divisors (1).

72832129 is an equidigital number, since it uses as much as digits as its factorization.

72832129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 72832129 is about 8534.1741838329. The cubic root of 72832129 is about 417.6133130943.

The spelling of 72832129 in words is "seventy-two million, eight hundred thirty-two thousand, one hundred twenty-nine".