123333672 has 64 divisors (see below), whose sum is σ = 384422400. Its totient is φ = 32034240.

The previous prime is 123333671. The next prime is 123333689. The reversal of 123333672 is 276333321.

It is a happy number.

It is a super-2 number, since 2×123333672² = 30422389298007168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (123333671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31522 + ... + 35217.

It is an arithmetic number, because the mean of its divisors is an integer number (6006600).

Almost surely, 2^123333672 is an apocalyptic number.

123333672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123333672 is an abundant number, since it is smaller than the sum of its proper divisors (261088728).

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

123333672 is a wasteful number, since it uses less digits than its factorization.

123333672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66766 (or 66762 counting only the distinct ones).

The product of its digits is 13608, while the sum is 30.

The square root of 123333672 is about 11105.5694135870. The cubic root of 123333672 is about 497.7682830324.

Adding to 123333672 its reverse (276333321), we get a palindrome (399666993).

The spelling of 123333672 in words is "one hundred twenty-three million, three hundred thirty-three thousand, six hundred seventy-two".