72217700 has 72 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 25991680.

The previous prime is 72217679. The next prime is 72217741. The reversal of 72217700 is 771227.

It is a self number, because there is not a number n which added to its sum of digits gives 72217700.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38177 + ... + 40023.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^72217700 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 72217700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

72217700 is an abundant number, since it is smaller than the sum of its proper divisors (101021212).

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

72217700 is a wasteful number, since it uses less digits than its factorization.

72217700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 72217700 is about 8498.0997875996. The cubic root of 72217700 is about 416.4356336985.

Adding to 72217700 its reverse (771227), we get a palindrome (72988927).

The spelling of 72217700 in words is "seventy-two million, two hundred seventeen thousand, seven hundred".