123391072 has 48 divisors (see below), whose sum is σ = 279568800. Its totient is φ = 52512768.

The previous prime is 123391069. The next prime is 123391087. The reversal of 123391072 is 270193321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 123391072.

It is a congruent number.

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, 31528 + ... + 35224.

It is an arithmetic number, because the mean of its divisors is an integer number (5824350).

Almost surely, 2^123391072 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 123391072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139784400).

123391072 is an abundant number, since it is smaller than the sum of its proper divisors (156177728).

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

123391072 is a wasteful number, since it uses less digits than its factorization.

123391072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 123391072 is about 11108.1534018936. The cubic root of 123391072 is about 497.8454921936.

The spelling of 123391072 in words is "one hundred twenty-three million, three hundred ninety-one thousand, seventy-two".