72241664 has 80 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 32256000.

The previous prime is 72241661. The next prime is 72241681. The reversal of 72241664 is 46614227.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 72241664.

It is not an unprimeable number, because it can be changed into a prime (72241661) 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, 568769 + ... + 568895.

Almost surely, 2^72241664 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 72241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80137728).

72241664 is an abundant number, since it is smaller than the sum of its proper divisors (88033792).

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

72241664 is a wasteful number, since it uses less digits than its factorization.

72241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 72241664 is about 8499.5096329141. The cubic root of 72241664 is about 416.4816905511.

It can be divided in two parts, 7224 and 1664, that added together give a palindrome (8888).

The spelling of 72241664 in words is "seventy-two million, two hundred forty-one thousand, six hundred sixty-four".