123531072 has 112 divisors (see below), whose sum is σ = 377464320. Its totient is φ = 34924032.

The previous prime is 123531071. The next prime is 123531077. The reversal of 123531072 is 270135321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123531071) 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, 143379 + ... + 144237.

Almost surely, 2^123531072 is an apocalyptic number.

123531072 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 123531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188732160).

123531072 is an abundant number, since it is smaller than the sum of its proper divisors (253933248).

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

123531072 is a wasteful number, since it uses less digits than its factorization.

123531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 123531072 is about 11114.4532928975. The cubic root of 123531072 is about 498.0337068522.

Adding to 123531072 its reverse (270135321), we get a palindrome (393666393).

The spelling of 123531072 in words is "one hundred twenty-three million, five hundred thirty-one thousand, seventy-two".