123872000 has 216 divisors, whose sum is σ = 363504960. Its totient is φ = 41932800.

The previous prime is 123871991. The next prime is 123872003. The reversal of 123872000 is 278321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123872003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567961 + ... + 1568039.

Almost surely, 2^123872000 is an apocalyptic number.

123872000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

123872000 is an abundant number, since it is smaller than the sum of its proper divisors (239632960).

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

123872000 is an frugal number, since it uses more digits than its factorization.

123872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 123872000 is about 11129.7798720370. The cubic root of 123872000 is about 498.4914531502.

The spelling of 123872000 in words is "one hundred twenty-three million, eight hundred seventy-two thousand".