123672 has 16 divisors (see below), whose sum is σ = 309240. Its totient is φ = 41216.

The previous prime is 123667. The next prime is 123677. The reversal of 123672 is 276321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123667) and next prime (123677).

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

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123677) by changing a digit.

123672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2553 + ... + 2600.

2¹²³⁶⁷² is an apocalyptic number.

123672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123672 is an abundant number, since it is smaller than the sum of its proper divisors (185568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123672 is a wasteful number, since it uses less digits than its factorization.

123672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5158 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 123672 is about 351.6703001392. The cubic root of 123672 is about 49.8223025538.

Adding to 123672 its reverse (276321), we get a palindrome (399993).

The spelling of 123672 in words is "one hundred twenty-three thousand, six hundred seventy-two".