123354272 has 48 divisors (see below), whose sum is σ = 250522272. Its totient is φ = 59754240.

The previous prime is 123354241. The next prime is 123354293. The reversal of 123354272 is 272453321.

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 7 ways as a sum of consecutive naturals, for example, 215747 + ... + 216317.

It is an arithmetic number, because the mean of its divisors is an integer number (5219214).

Almost surely, 2^123354272 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 123354272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125261136).

123354272 is an abundant number, since it is smaller than the sum of its proper divisors (127168000).

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

123354272 is a wasteful number, since it uses less digits than its factorization.

123354272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 123354272 is about 11106.4968374371. The cubic root of 123354272 is about 497.7959949989.

The spelling of 123354272 in words is "one hundred twenty-three million, three hundred fifty-four thousand, two hundred seventy-two".