72217632 has 144 divisors (see below), whose sum is σ = 213524640. Its totient is φ = 21307392.

The previous prime is 72217619. The next prime is 72217633. The reversal of 72217632 is 23671227.

It is a self number, because there is not a number n which added to its sum of digits gives 72217632.

It is not an unprimeable number, because it can be changed into a prime (72217633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 527068 + ... + 527204.

It is an arithmetic number, because the mean of its divisors is an integer number (1482810).

Almost surely, 2^72217632 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 72217632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106762320).

72217632 is an abundant number, since it is smaller than the sum of its proper divisors (141307008).

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

72217632 is a wasteful number, since it uses less digits than its factorization.

72217632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 72217632 is about 8498.0957867042. The cubic root of 72217632 is about 416.4355029935.

Adding to 72217632 its reverse (23671227), we get a palindrome (95888859).

The spelling of 72217632 in words is "seventy-two million, two hundred seventeen thousand, six hundred thirty-two".