123924672 has 84 divisors (see below), whose sum is σ = 361133136. Its totient is φ = 40619520.

The previous prime is 123924659. The next prime is 123924719. The reversal of 123924672 is 276429321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33373 + ... + 36899.

It is an arithmetic number, because the mean of its divisors is an integer number (4299204).

Almost surely, 2^123924672 is an apocalyptic number.

123924672 is a gapful number since it is divisible by the number (12) 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 123924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180566568).

123924672 is an abundant number, since it is smaller than the sum of its proper divisors (237208464).

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

123924672 is a wasteful number, since it uses less digits than its factorization.

123924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3593 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 123924672 is about 11132.1458847789. The cubic root of 123924672 is about 498.5620981739.

The spelling of 123924672 in words is "one hundred twenty-three million, nine hundred twenty-four thousand, six hundred seventy-two".