72052829 has 2 divisors, whose sum is σ = 72052830. Its totient is φ = 72052828.

The previous prime is 72052823. The next prime is 72052843. The reversal of 72052829 is 92825027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45292900 + 26759929 = 6730^2 + 5173^2 .

It is a cyclic number.

It is not a de Polignac number, because 72052829 - 2⁸ = 72052573 is a prime.

It is a super-2 number, since 2×72052829² = 10383220333806482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72052823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36026414 + 36026415.

It is an arithmetic number, because the mean of its divisors is an integer number (36026415).

Almost surely, 2^72052829 is an apocalyptic number.

It is an amenable number.

72052829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72052829 is an equidigital number, since it uses as much as digits as its factorization.

72052829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72052829 is about 8488.3937821004. The cubic root of 72052829 is about 416.1184885759.

The spelling of 72052829 in words is "seventy-two million, fifty-two thousand, eight hundred twenty-nine".