72109919 has 8 divisors (see below), whose sum is σ = 84093600. Its totient is φ = 61808208.

The previous prime is 72109913. The next prime is 72109951. The reversal of 72109919 is 91990127.

It is not a de Polignac number, because 72109919 - 2⁸ = 72109663 is a prime.

It is a super-2 number, since 2×72109919² = 10399680836373122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72109913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104774 + ... + 105459.

It is an arithmetic number, because the mean of its divisors is an integer number (10511700).

Almost surely, 2^72109919 is an apocalyptic number.

72109919 is a deficient number, since it is larger than the sum of its proper divisors (11983681).

72109919 is an equidigital number, since it uses as much as digits as its factorization.

72109919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210254 (or 210240 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 38.

The square root of 72109919 is about 8491.7559432664. The cubic root of 72109919 is about 416.2283613517.

The spelling of 72109919 in words is "seventy-two million, one hundred nine thousand, nine hundred nineteen".