72224117 has 8 divisors (see below), whose sum is σ = 86130816. Its totient is φ = 59214672.

The previous prime is 72224059. The next prime is 72224137. The reversal of 72224117 is 71142227.

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 72224117 - 2¹⁸ = 71961973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72224137) 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, 224138 + ... + 224459.

It is an arithmetic number, because the mean of its divisors is an integer number (10766352).

Almost surely, 2^72224117 is an apocalyptic number.

It is an amenable number.

72224117 is a deficient number, since it is larger than the sum of its proper divisors (13906699).

72224117 is a wasteful number, since it uses less digits than its factorization.

72224117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448627.

The product of its digits is 1568, while the sum is 26.

The square root of 72224117 is about 8498.4773342052. The cubic root of 72224117 is about 416.4479676476.

The spelling of 72224117 in words is "seventy-two million, two hundred twenty-four thousand, one hundred seventeen".