72221568 has 64 divisors (see below), whose sum is σ = 198059520. Its totient is φ = 23293440.

The previous prime is 72221561. The next prime is 72221647. The reversal of 72221568 is 86512227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72221561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8871 + ... + 14937.

It is an arithmetic number, because the mean of its divisors is an integer number (3094680).

Almost surely, 2^72221568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99029760).

72221568 is an abundant number, since it is smaller than the sum of its proper divisors (125837952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72221568 is a wasteful number, since it uses less digits than its factorization.

72221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115 (or 6103 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 72221568 is about 8498.3273648407. The cubic root of 72221568 is about 416.4430683684.

The spelling of 72221568 in words is "seventy-two million, two hundred twenty-one thousand, five hundred sixty-eight".