736729920 has 168 divisors, whose sum is σ = 2621721960. Its totient is φ = 189665280.

The previous prime is 736729919. The next prime is 736729933. The reversal of 736729920 is 29927637.

It is a happy number.

736729920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112529664 + 624200256 = 10608^2 + 24984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79110 + ... + 87930.

Almost surely, 2^736729920 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 736729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310860980).

736729920 is an abundant number, since it is smaller than the sum of its proper divisors (1884992040).

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

736729920 is a wasteful number, since it uses less digits than its factorization.

736729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 736729920 is about 27142.7692028651. The cubic root of 736729920 is about 903.1698594752.

The spelling of 736729920 in words is "seven hundred thirty-six million, seven hundred twenty-nine thousand, nine hundred twenty".