72217480 has 64 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 27154944.

The previous prime is 72217477. The next prime is 72217487. The reversal of 72217480 is 8471227.

It is not an unprimeable number, because it can be changed into a prime (72217487) 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 15 ways as a sum of consecutive naturals, for example, 126636 + ... + 127204.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^72217480 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 72217480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

72217480 is an abundant number, since it is smaller than the sum of its proper divisors (100150520).

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

72217480 is a wasteful number, since it uses less digits than its factorization.

72217480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 72217480 is about 8498.0868435195. The cubic root of 72217480 is about 416.4352108293.

The spelling of 72217480 in words is "seventy-two million, two hundred seventeen thousand, four hundred eighty".