72217575 has 60 divisors (see below), whose sum is σ = 140887560. Its totient is φ = 36469440.

The previous prime is 72217573. The next prime is 72217577. The reversal of 72217575 is 57571227.

72217575 is a `hidden beast` number, since 72 + 2 + 17 + 575 = 666.

It is an interprime number because it is at equal distance from previous prime (72217573) and next prime (72217577).

It is not a de Polignac number, because 72217575 - 2¹ = 72217573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72217571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37537 + ... + 39413.

It is an arithmetic number, because the mean of its divisors is an integer number (2348126).

Almost surely, 2^72217575 is an apocalyptic number.

72217575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72217575 is a deficient number, since it is larger than the sum of its proper divisors (68669985).

72217575 is a wasteful number, since it uses less digits than its factorization.

72217575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1904 counting only the distinct ones).

The product of its digits is 34300, while the sum is 36.

The square root of 72217575 is about 8498.0924330111. The cubic root of 72217575 is about 416.4353934320.

The spelling of 72217575 in words is "seventy-two million, two hundred seventeen thousand, five hundred seventy-five".