72005819 has 2 divisors, whose sum is σ = 72005820. Its totient is φ = 72005818.

The previous prime is 72005807. The next prime is 72005827. The reversal of 72005819 is 91850027.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72005819 - 2¹² = 72001723 is a prime.

It is a super-2 number, since 2×72005819² = 10369675939721522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72005849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36002909 + 36002910.

It is an arithmetic number, because the mean of its divisors is an integer number (36002910).

Almost surely, 2^72005819 is an apocalyptic number.

72005819 is a deficient number, since it is larger than the sum of its proper divisors (1).

72005819 is an equidigital number, since it uses as much as digits as its factorization.

72005819 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 72005819 is about 8485.6242551742. The cubic root of 72005819 is about 416.0279717231.

The spelling of 72005819 in words is "seventy-two million, five thousand, eight hundred nineteen".