72802831 has 2 divisors, whose sum is σ = 72802832. Its totient is φ = 72802830.

The previous prime is 72802819. The next prime is 72802837. The reversal of 72802831 is 13820827.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72802831 - 2⁵ = 72802799 is a prime.

It is a super-2 number, since 2×72802831² = 10600504403229122, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72802793 and 72802802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72802837) 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, 36401415 + 36401416.

It is an arithmetic number, because the mean of its divisors is an integer number (36401416).

Almost surely, 2^72802831 is an apocalyptic number.

72802831 is a deficient number, since it is larger than the sum of its proper divisors (1).

72802831 is an equidigital number, since it uses as much as digits as its factorization.

72802831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 72802831 is about 8532.4575006267. The cubic root of 72802831 is about 417.5573081599.

The spelling of 72802831 in words is "seventy-two million, eight hundred two thousand, eight hundred thirty-one".