72102163 has 8 divisors (see below), whose sum is σ = 83203328. Its totient is φ = 61201224.

The previous prime is 72102157. The next prime is 72102167. The reversal of 72102163 is 36120127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72102163 - 2⁹ = 72101651 is a prime.

It is a super-3 number, since 3×72102163³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

72102163 is a modest number, since divided by 2163 gives 721 as remainder.

It is not an unprimeable number, because it can be changed into a prime (72102167) 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, 49281 + ... + 50722.

It is an arithmetic number, because the mean of its divisors is an integer number (10400416).

Almost surely, 2^72102163 is an apocalyptic number.

72102163 is a deficient number, since it is larger than the sum of its proper divisors (11101165).

72102163 is a wasteful number, since it uses less digits than its factorization.

72102163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100113.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 72102163 is about 8491.2992527646. The cubic root of 72102163 is about 416.2134379174.

The spelling of 72102163 in words is "seventy-two million, one hundred two thousand, one hundred sixty-three".