72208105 has 8 divisors (see below), whose sum is σ = 86776200. Its totient is φ = 57682176.

The previous prime is 72208067. The next prime is 72208141. The reversal of 72208105 is 50180227.

It can be written as a sum of positive squares in 4 ways, for example, as 3583449 + 68624656 = 1893^2 + 8284^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72208105 - 2¹⁹ = 71683817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72208105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6640 + ... + 13729.

It is an arithmetic number, because the mean of its divisors is an integer number (10847025).

Almost surely, 2^72208105 is an apocalyptic number.

It is an amenable number.

72208105 is a deficient number, since it is larger than the sum of its proper divisors (14568095).

72208105 is a wasteful number, since it uses less digits than its factorization.

72208105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21083.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 72208105 is about 8497.5352308772. The cubic root of 72208105 is about 416.4171900350.

The spelling of 72208105 in words is "seventy-two million, two hundred eight thousand, one hundred five".