732007120 has 80 divisors (see below), whose sum is σ = 1837538640. Its totient is φ = 269586432.

The previous prime is 732007109. The next prime is 732007121. The reversal of 732007120 is 21700237.

It can be written as a sum of positive squares in 8 ways, for example, as 70694464 + 661312656 = 8408^2 + 25716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 732007091 and 732007100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (732007121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591142 + ... + 592378.

It is an arithmetic number, because the mean of its divisors is an integer number (22969233).

Almost surely, 2^732007120 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 732007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918769320).

732007120 is an abundant number, since it is smaller than the sum of its proper divisors (1105531520).

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

732007120 is a wasteful number, since it uses less digits than its factorization.

732007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 732007120 is about 27055.6300980036. The cubic root of 732007120 is about 901.2358002742.

Adding to 732007120 its reverse (21700237), we get a palindrome (753707357).

The spelling of 732007120 in words is "seven hundred thirty-two million, seven thousand, one hundred twenty".