123073632 has 144 divisors (see below), whose sum is σ = 389542608. Its totient is φ = 36541440.

The previous prime is 123073619. The next prime is 123073633. The reversal of 123073632 is 236370321.

123073632 is a `hidden beast` number, since 1 + 23 + 0 + 7 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 123073596 and 123073605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123073633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167538 + ... + 168270.

It is an arithmetic number, because the mean of its divisors is an integer number (2705157).

Almost surely, 2^123073632 is an apocalyptic number.

123073632 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 123073632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194771304).

123073632 is an abundant number, since it is smaller than the sum of its proper divisors (266468976).

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

123073632 is a wasteful number, since it uses less digits than its factorization.

123073632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 123073632 is about 11093.8555966805. The cubic root of 123073632 is about 497.4182009062.

The spelling of 123073632 in words is "one hundred twenty-three million, seventy-three thousand, six hundred thirty-two".