72806831 has 2 divisors, whose sum is σ = 72806832. Its totient is φ = 72806830.

The previous prime is 72806821. The next prime is 72806887. The reversal of 72806831 is 13860827.

It is a weak prime.

It is an emirp because it is prime and its reverse (13860827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72806831 - 2¹⁰ = 72805807 is a prime.

It is a super-2 number, since 2×72806831² = 10601669280525122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72806791 and 72806800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72806821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36403415 + 36403416.

It is an arithmetic number, because the mean of its divisors is an integer number (36403416).

Almost surely, 2^72806831 is an apocalyptic number.

72806831 is a deficient number, since it is larger than the sum of its proper divisors (1).

72806831 is an equidigital number, since it uses as much as digits as its factorization.

72806831 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 72806831 is about 8532.6918964650. The cubic root of 72806831 is about 417.5649552922.

It can be divided in two parts, 72806 and 831, that added together give a palindrome (73637).

The spelling of 72806831 in words is "seventy-two million, eight hundred six thousand, eight hundred thirty-one".