123072075 has 108 divisors (see below), whose sum is σ = 267382440. Its totient is φ = 55339200.

The previous prime is 123072049. The next prime is 123072083. The reversal of 123072075 is 570270321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 123072075 - 2⁵ = 123072043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2017545 + ... + 2017605.

Almost surely, 2^123072075 is an apocalyptic number.

123072075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123072075 is an abundant number, since it is smaller than the sum of its proper divisors (144310365).

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

123072075 is an equidigital number, since it uses as much as digits as its factorization.

123072075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 123072075 is about 11093.7854224787. The cubic root of 123072075 is about 497.4161032909.

Multiplying 123072075 by its sum of digits (27), we get a square (3322946025 = 57645²).

123072075 divided by its sum of digits (27) gives a square (4558225 = 2135²).

The spelling of 123072075 in words is "one hundred twenty-three million, seventy-two thousand, seventy-five".