72217160 has 32 divisors (see below), whose sum is σ = 162891000. Its totient is φ = 28815360.

The previous prime is 72217151. The next prime is 72217169. The reversal of 72217160 is 6171227.

It is an interprime number because it is at equal distance from previous prime (72217151) and next prime (72217169).

It can be written as a sum of positive squares in 4 ways, for example, as 43850884 + 28366276 = 6622^2 + 5326^2 .

It is not an unprimeable number, because it can be changed into a prime (72217169) 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, 15950 + ... + 19970.

Almost surely, 2^72217160 is an apocalyptic number.

It is an amenable number.

72217160 is an abundant number, since it is smaller than the sum of its proper divisors (90673840).

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

72217160 is a wasteful number, since it uses less digits than its factorization.

72217160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 72217160 is about 8498.0680157316. The cubic root of 72217160 is about 416.4345957452.

Adding to 72217160 its reverse (6171227), we get a palindrome (78388387).

The spelling of 72217160 in words is "seventy-two million, two hundred seventeen thousand, one hundred sixty".