72019 has 2 divisors, whose sum is σ = 72020. Its totient is φ = 72018.

The previous prime is 71999. The next prime is 72031. The reversal of 72019 is 91027.

72019 is nontrivially palindromic in base 5.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72019 - 2⁵ = 71987 is a prime.

It is a super-2 number, since 2×72019² = 10373472722, which contains 22 as substring.

It is a Chen prime.

72019 is a lucky number.

It is equal to p₇₁₂₉ and since 72019 and 7129 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 71987 and 72005.

It is not a weakly prime, because it can be changed into another prime (72089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36009 + 36010.

It is an arithmetic number, because the mean of its divisors is an integer number (36010).

2⁷²⁰¹⁹ is an apocalyptic number.

72019 is a deficient number, since it is larger than the sum of its proper divisors (1).

72019 is an equidigital number, since it uses as much as digits as its factorization.

72019 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 72019 is about 268.3635593742. The cubic root of 72019 is about 41.6053355459.

The spelling of 72019 in words is "seventy-two thousand, nineteen".