123672416 has 96 divisors (see below), whose sum is σ = 301335552. Its totient is φ = 48752640.

The previous prime is 123672391. The next prime is 123672421. The reversal of 123672416 is 614276321.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 178631 + ... + 179321.

It is an arithmetic number, because the mean of its divisors is an integer number (3138912).

Almost surely, 2^123672416 is an apocalyptic number.

123672416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150667776).

123672416 is an abundant number, since it is smaller than the sum of its proper divisors (177663136).

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

123672416 is a wasteful number, since it uses less digits than its factorization.

123672416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 123672416 is about 11120.8100424385. The cubic root of 123672416 is about 498.2235841679.

The spelling of 123672416 in words is "one hundred twenty-three million, six hundred seventy-two thousand, four hundred sixteen".