72879219 has 36 divisors (see below), whose sum is σ = 124576920. Its totient is φ = 40924800.

The previous prime is 72879211. The next prime is 72879239. The reversal of 72879219 is 91297827.

It is not a de Polignac number, because 72879219 - 2³ = 72879211 is a prime.

It is a super-2 number, since 2×72879219² = 10622761124099922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72879211) 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 35 ways as a sum of consecutive naturals, for example, 24619 + ... + 27419.

It is an arithmetic number, because the mean of its divisors is an integer number (3460470).

Almost surely, 2^72879219 is an apocalyptic number.

72879219 is a deficient number, since it is larger than the sum of its proper divisors (51697701).

72879219 is a wasteful number, since it uses less digits than its factorization.

72879219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2870 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 72879219 is about 8536.9326458629. The cubic root of 72879219 is about 417.7032970727.

The spelling of 72879219 in words is "seventy-two million, eight hundred seventy-nine thousand, two hundred nineteen".