123195072 has 224 divisors, whose sum is σ = 438326784. Its totient is φ = 29491200.

The previous prime is 123195071. The next prime is 123195091. The reversal of 123195072 is 270591321.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (123195071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191872 + ... + 192512.

It is an arithmetic number, because the mean of its divisors is an integer number (1956816).

Almost surely, 2^123195072 is an apocalyptic number.

123195072 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 123195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219163392).

123195072 is an abundant number, since it is smaller than the sum of its proper divisors (315131712).

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

123195072 is a wasteful number, since it uses less digits than its factorization.

123195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 123195072 is about 11099.3275471985. The cubic root of 123195072 is about 497.5817523455.

It can be divided in two parts, 12319 and 5072, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 123195072 in words is "one hundred twenty-three million, one hundred ninety-five thousand, seventy-two".