123272000 has 112 divisors (see below), whose sum is σ = 321746880. Its totient is φ = 46656000.

The previous prime is 123271999. The next prime is 123272029. The reversal of 123272000 is 272321.

It is a self number, because there is not a number n which added to its sum of digits gives 123272000.

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, 151595 + ... + 152405.

It is an arithmetic number, because the mean of its divisors is an integer number (2872740).

Almost surely, 2^123272000 is an apocalyptic number.

123272000 is a gapful number since it is divisible by the number (10) 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 123272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160873440).

123272000 is an abundant number, since it is smaller than the sum of its proper divisors (198474880).

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

123272000 is an equidigital number, since it uses as much as digits as its factorization.

123272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 123272000 is about 11102.7924415437. The cubic root of 123272000 is about 497.6853008716.

The spelling of 123272000 in words is "one hundred twenty-three million, two hundred seventy-two thousand".