72163 has 12 divisors (see below), whose sum is σ = 90768. Its totient is φ = 56160.

The previous prime is 72161. The next prime is 72167. The reversal of 72163 is 36127.

It is not a de Polignac number, because 72163 - 2¹ = 72161 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72163.

It is not an unprimeable number, because it can be changed into a prime (72161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (7564).

2⁷²¹⁶³ is an apocalyptic number.

72163 is a deficient number, since it is larger than the sum of its proper divisors (18605).

72163 is a wasteful number, since it uses less digits than its factorization.

72163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 72163 is about 268.6317181570. The cubic root of 72163 is about 41.6330466578.

It can be divided in two parts, 721 and 63, that added together give a square (784 = 28²).

The spelling of 72163 in words is "seventy-two thousand, one hundred sixty-three".