72213617 has 8 divisors (see below), whose sum is σ = 82617600. Its totient is φ = 61831584.

The previous prime is 72213599. The next prime is 72213649. The reversal of 72213617 is 71631227.

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 72213617 - 2¹² = 72209521 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 72213617.

It is not an unprimeable number, because it can be changed into a prime (72213217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2309 + ... + 12237.

It is an arithmetic number, because the mean of its divisors is an integer number (10327200).

Almost surely, 2^72213617 is an apocalyptic number.

It is an amenable number.

72213617 is a deficient number, since it is larger than the sum of its proper divisors (10403983).

72213617 is a wasteful number, since it uses less digits than its factorization.

72213617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10975.

The product of its digits is 3528, while the sum is 29.

The square root of 72213617 is about 8497.8595540289. The cubic root of 72213617 is about 416.4277854898.

The spelling of 72213617 in words is "seventy-two million, two hundred thirteen thousand, six hundred seventeen".