123672528 has 80 divisors (see below), whose sum is σ = 405708160. Its totient is φ = 35334144.

The previous prime is 123672517. The next prime is 123672529. The reversal of 123672528 is 825276321.

123672528 is a `hidden beast` number, since 123 + 6 + 7 + 2 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123672492 and 123672501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123672529) 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, 17425 + ... + 23472.

It is an arithmetic number, because the mean of its divisors is an integer number (5071352).

Almost surely, 2^123672528 is an apocalyptic number.

123672528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123672528 is an abundant number, since it is smaller than the sum of its proper divisors (282035632).

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

123672528 is a wasteful number, since it uses less digits than its factorization.

123672528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40921 (or 40909 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 123672528 is about 11120.8150780417. The cubic root of 123672528 is about 498.2237345680.

The spelling of 123672528 in words is "one hundred twenty-three million, six hundred seventy-two thousand, five hundred twenty-eight".