72123 has 8 divisors (see below), whose sum is σ = 99600. Its totient is φ = 46368.

The previous prime is 72109. The next prime is 72139. The reversal of 72123 is 32127.

72123 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 72123 - 2⁵ = 72091 is a prime.

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

72123 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (72103) 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, 328 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (12450).

2⁷²¹²³ is an apocalyptic number.

72123 is a deficient number, since it is larger than the sum of its proper divisors (27477).

72123 is a wasteful number, since it uses less digits than its factorization.

72123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861.

The product of its digits is 84, while the sum is 15.

The square root of 72123 is about 268.5572564650. The cubic root of 72123 is about 41.6253528273.

The spelling of 72123 in words is "seventy-two thousand, one hundred twenty-three", and thus it is an iban number.