73072819 has 2 divisors, whose sum is σ = 73072820. Its totient is φ = 73072818.

The previous prime is 73072807. The next prime is 73072829. The reversal of 73072819 is 91827037.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 73072819 - 2⁷ = 73072691 is a prime.

It is a super-2 number, since 2×73072819² = 10679273753213522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (73072829) 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, 36536409 + 36536410.

It is an arithmetic number, because the mean of its divisors is an integer number (36536410).

Almost surely, 2^73072819 is an apocalyptic number.

73072819 is a deficient number, since it is larger than the sum of its proper divisors (1).

73072819 is an equidigital number, since it uses as much as digits as its factorization.

73072819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 73072819 is about 8548.2640927852. The cubic root of 73072819 is about 418.0728393474.

The spelling of 73072819 in words is "seventy-three million, seventy-two thousand, eight hundred nineteen".