72418219 has 2 divisors, whose sum is σ = 72418220. Its totient is φ = 72418218.

The previous prime is 72418187. The next prime is 72418243. The reversal of 72418219 is 91281427.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72418219 - 2⁵ = 72418187 is a prime.

It is a super-2 number, since 2×72418219² = 10488796886263922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72418279) 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, 36209109 + 36209110.

It is an arithmetic number, because the mean of its divisors is an integer number (36209110).

Almost surely, 2^72418219 is an apocalyptic number.

72418219 is a deficient number, since it is larger than the sum of its proper divisors (1).

72418219 is an equidigital number, since it uses as much as digits as its factorization.

72418219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The square root of 72418219 is about 8509.8894822436. The cubic root of 72418219 is about 416.8207013068.

It can be divided in two parts, 724182 and 19, that added together give a square (724201 = 851²).

The spelling of 72418219 in words is "seventy-two million, four hundred eighteen thousand, two hundred nineteen".