123679752 has 128 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 33868800.

The previous prime is 123679747. The next prime is 123679771. The reversal of 123679752 is 257976321.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 627718 + ... + 627914.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2^123679752 is an apocalyptic number.

123679752 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 123679752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

123679752 is an abundant number, since it is smaller than the sum of its proper divisors (244695288).

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

123679752 is a wasteful number, since it uses less digits than its factorization.

123679752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 123679752 is about 11121.1398696357. The cubic root of 123679752 is about 498.2334351815.

The spelling of 123679752 in words is "one hundred twenty-three million, six hundred seventy-nine thousand, seven hundred fifty-two".