123752032 has 48 divisors (see below), whose sum is σ = 250577712. Its totient is φ = 60136960.

The previous prime is 123752023. The next prime is 123752059. The reversal of 123752032 is 230257321.

It is a junction number, because it is equal to n+sod(n) for n = 123751988 and 123752006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221898 + ... + 222454.

It is an arithmetic number, because the mean of its divisors is an integer number (5220369).

Almost surely, 2^123752032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123752032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125288856).

123752032 is an abundant number, since it is smaller than the sum of its proper divisors (126825680).

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

123752032 is a wasteful number, since it uses less digits than its factorization.

123752032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 123752032 is about 11124.3890618766. The cubic root of 123752032 is about 498.3304742388.

The spelling of 123752032 in words is "one hundred twenty-three million, seven hundred fifty-two thousand, thirty-two".