123463872 has 224 divisors, whose sum is σ = 424281600. Its totient is φ = 34477056.

The previous prime is 123463867. The next prime is 123463889. The reversal of 123463872 is 278364321.

It is a happy number.

123463872 is a `hidden beast` number, since 12 + 3 + 4 + 638 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713578 + ... + 713750.

Almost surely, 2^123463872 is an apocalyptic number.

123463872 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 123463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212140800).

123463872 is an abundant number, since it is smaller than the sum of its proper divisors (300817728).

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

123463872 is a wasteful number, since it uses less digits than its factorization.

123463872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 123463872 is about 11111.4297909855. The cubic root of 123463872 is about 497.9433815731.

The spelling of 123463872 in words is "one hundred twenty-three million, four hundred sixty-three thousand, eight hundred seventy-two".