123600672 has 72 divisors (see below), whose sum is σ = 378538524. Its totient is φ = 38029824.

The previous prime is 123600671. The next prime is 123600703. The reversal of 123600672 is 276006321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107246736 + 16353936 = 10356^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×123600672² = 30554252237703168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123600671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12763 + ... + 20250.

Almost surely, 2^123600672 is an apocalyptic number.

123600672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123600672 is an abundant number, since it is smaller than the sum of its proper divisors (254937852).

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

123600672 is a wasteful number, since it uses less digits than its factorization.

123600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33042 (or 33031 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 123600672 is about 11117.5839101848. The cubic root of 123600672 is about 498.1272235076.

Adding to 123600672 its reverse (276006321), we get a palindrome (399606993).

The spelling of 123600672 in words is "one hundred twenty-three million, six hundred thousand, six hundred seventy-two".