72166019 has 12 divisors (see below), whose sum is σ = 76820016. Its totient is φ = 67665312.

The previous prime is 72165991. The next prime is 72166051. The reversal of 72166019 is 91066127.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-72166019 is a prime.

It is a super-2 number, since 2×72166019² = 10415868596616722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72166069) 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 in 11 ways as a sum of consecutive naturals, for example, 64049 + ... + 65165.

It is an arithmetic number, because the mean of its divisors is an integer number (6401668).

Almost surely, 2^72166019 is an apocalyptic number.

72166019 is a deficient number, since it is larger than the sum of its proper divisors (4653997).

72166019 is a wasteful number, since it uses less digits than its factorization.

72166019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 72166019 is about 8495.0585048015. The cubic root of 72166019 is about 416.3362723420.

The spelling of 72166019 in words is "seventy-two million, one hundred sixty-six thousand, nineteen".