72105505 has 8 divisors (see below), whose sum is σ = 86591232. Its totient is φ = 57641328.

The previous prime is 72105491. The next prime is 72105533. The reversal of 72105505 is 50550127.

It is a happy number.

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 72105505 - 2¹³ = 72097313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72105505.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3234 + ... + 12436.

It is an arithmetic number, because the mean of its divisors is an integer number (10823904).

Almost surely, 2^72105505 is an apocalyptic number.

It is an amenable number.

72105505 is a deficient number, since it is larger than the sum of its proper divisors (14485727).

72105505 is a wasteful number, since it uses less digits than its factorization.

72105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775.

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 72105505 is about 8491.4960401569. The cubic root of 72105505 is about 416.2198684403.

The spelling of 72105505 in words is "seventy-two million, one hundred five thousand, five hundred five".