123752832 has 96 divisors (see below), whose sum is σ = 382444920. Its totient is φ = 35352576.

The previous prime is 123752813. The next prime is 123752851. The reversal of 123752832 is 238257321.

It is an interprime number because it is at equal distance from previous prime (123752813) and next prime (123752851).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 123752793 and 123752802.

It is a congruent number.

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, 15528 + ... + 22104.

Almost surely, 2^123752832 is an apocalyptic number.

123752832 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 123752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191222460).

123752832 is an abundant number, since it is smaller than the sum of its proper divisors (258692088).

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

123752832 is an equidigital number, since it uses as much as digits as its factorization.

123752832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6589 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 123752832 is about 11124.4250188493. The cubic root of 123752832 is about 498.3315480623.

The spelling of 123752832 in words is "one hundred twenty-three million, seven hundred fifty-two thousand, eight hundred thirty-two".