123085872 has 320 divisors, whose sum is σ = 453304320. Its totient is φ = 31104000.

The previous prime is 123085849. The next prime is 123085877. The reversal of 123085872 is 278580321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123085877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218622 + ... + 1218722.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 2^123085872 is an apocalyptic number.

123085872 is a gapful number since it is divisible by the number (12) 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 123085872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226652160).

123085872 is an abundant number, since it is smaller than the sum of its proper divisors (330218448).

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

123085872 is a wasteful number, since it uses less digits than its factorization.

123085872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 123085872 is about 11094.4072396861. The cubic root of 123085872 is about 497.4346902138.

The spelling of 123085872 in words is "one hundred twenty-three million, eighty-five thousand, eight hundred seventy-two".