72219917 has 16 divisors (see below), whose sum is σ = 90329472. Its totient is φ = 56094720.

The previous prime is 72219911. The next prime is 72219923. The reversal of 72219917 is 71991227.

It is an interprime number because it is at equal distance from previous prime (72219911) and next prime (72219923).

It is not a de Polignac number, because 72219917 - 2¹⁸ = 71957773 is a prime.

It is a super-2 number, since 2×72219917² = 10431432822973778, 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 (72219911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25853 + ... + 28509.

It is an arithmetic number, because the mean of its divisors is an integer number (5645592).

Almost surely, 2^72219917 is an apocalyptic number.

72219917 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72219917 is a deficient number, since it is larger than the sum of its proper divisors (18109555).

72219917 is a wasteful number, since it uses less digits than its factorization.

72219917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028.

The product of its digits is 15876, while the sum is 38.

The square root of 72219917 is about 8498.2302275238. The cubic root of 72219917 is about 416.4398950193.

The spelling of 72219917 in words is "seventy-two million, two hundred nineteen thousand, nine hundred seventeen".