123631872 has 288 divisors, whose sum is σ = 425806080. Its totient is φ = 30965760.

The previous prime is 123631853. The next prime is 123631889. The reversal of 123631872 is 278136321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2026722 + ... + 2026782.

Almost surely, 2^123631872 is an apocalyptic number.

123631872 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 123631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040).

123631872 is an abundant number, since it is smaller than the sum of its proper divisors (302174208).

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

123631872 is a wasteful number, since it uses less digits than its factorization.

123631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 123631872 is about 11118.9870042194. The cubic root of 123631872 is about 498.1691333710.

The spelling of 123631872 in words is "one hundred twenty-three million, six hundred thirty-one thousand, eight hundred seventy-two".