123172672 has 112 divisors (see below), whose sum is σ = 295859200. Its totient is φ = 50803200.

The previous prime is 123172669. The next prime is 123172691. The reversal of 123172672 is 276271321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680422 + ... + 680602.

It is an arithmetic number, because the mean of its divisors is an integer number (2641600).

Almost surely, 2^123172672 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 123172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147929600).

123172672 is an abundant number, since it is smaller than the sum of its proper divisors (172686528).

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

123172672 is an equidigital number, since it uses as much as digits as its factorization.

123172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 123172672 is about 11098.3184311859. The cubic root of 123172672 is about 497.5515928414.

The spelling of 123172672 in words is "one hundred twenty-three million, one hundred seventy-two thousand, six hundred seventy-two".