72102219 has 32 divisors (see below), whose sum is σ = 117250560. Its totient is φ = 38472192.

The previous prime is 72102211. The next prime is 72102221. The reversal of 72102219 is 91220127.

It is not a de Polignac number, because 72102219 - 2³ = 72102211 is a prime.

It is a super-2 number, since 2×72102219² = 10397459969447922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72102211) 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 31 ways as a sum of consecutive naturals, for example, 48897 + ... + 50349.

It is an arithmetic number, because the mean of its divisors is an integer number (3664080).

Almost surely, 2^72102219 is an apocalyptic number.

72102219 is a deficient number, since it is larger than the sum of its proper divisors (45148341).

72102219 is a wasteful number, since it uses less digits than its factorization.

72102219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 72102219 is about 8491.3025502569. The cubic root of 72102219 is about 416.2135456717.

The spelling of 72102219 in words is "seventy-two million, one hundred two thousand, two hundred nineteen".