123733072 has 40 divisors (see below), whose sum is σ = 255258216. Its totient is φ = 57901056.

The previous prime is 123733067. The next prime is 123733081. The reversal of 123733072 is 270337321.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 117158976 = 2564^2 + 10824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123733072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51318 + ... + 53674.

Almost surely, 2^123733072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123733072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127629108).

123733072 is an abundant number, since it is smaller than the sum of its proper divisors (131525144).

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

123733072 is a wasteful number, since it uses less digits than its factorization.

123733072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 123733072 is about 11123.5368476038. The cubic root of 123733072 is about 498.3050232672.

The spelling of 123733072 in words is "one hundred twenty-three million, seven hundred thirty-three thousand, seventy-two".