72063 has 16 divisors (see below), whose sum is σ = 113760. Its totient is φ = 44928.

The previous prime is 72053. The next prime is 72073. The reversal of 72063 is 36027.

72063 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (72053) and next prime (72073).

It is not a de Polignac number, because 72063 - 2⁴ = 72047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (7110).

2⁷²⁰⁶³ is an apocalyptic number.

72063 is a deficient number, since it is larger than the sum of its proper divisors (41697).

72063 is a wasteful number, since it uses less digits than its factorization.

72063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 72063 is about 268.4455252002. The cubic root of 72063 is about 41.6138067460.

It can be divided in two parts, 7 and 2063, that multiplied together give a palindrome (14441).

The spelling of 72063 in words is "seventy-two thousand, sixty-three".