102072217 has 4 divisors (see below), whose sum is σ = 109923940. Its totient is φ = 94220496.

The previous prime is 102072197. The next prime is 102072221. The reversal of 102072217 is 712270201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 712270201 = 109 ⋅6534589.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 93915481 = 2856^2 + 9691^2 .

It is a cyclic number.

It is not a de Polignac number, because 102072217 - 2¹⁵ = 102039449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102072277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3925842 + ... + 3925867.

It is an arithmetic number, because the mean of its divisors is an integer number (27480985).

Almost surely, 2^102072217 is an apocalyptic number.

It is an amenable number.

102072217 is a deficient number, since it is larger than the sum of its proper divisors (7851723).

102072217 is an equidigital number, since it uses as much as digits as its factorization.

102072217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851722.

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 102072217 is about 10103.0795800093. The cubic root of 102072217 is about 467.3431153069.

It can be divided in two parts, 1020 and 72217, that added together give a palindrome (73237).

The spelling of 102072217 in words is "one hundred two million, seventy-two thousand, two hundred seventeen".