726530000 has 200 divisors, whose sum is σ = 2049993792. Its totient is φ = 244224000.

The previous prime is 726529987. The next prime is 726530009. The reversal of 726530000 is 35627.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726530009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6789947 + ... + 6790053.

Almost surely, 2^726530000 is an apocalyptic number.

726530000 is a gapful number since it is divisible by the number (70) 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 726530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024996896).

726530000 is an abundant number, since it is smaller than the sum of its proper divisors (1323463792).

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

726530000 is a wasteful number, since it uses less digits than its factorization.

726530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 726530000 is about 26954.2204487535. The cubic root of 726530000 is about 898.9823889369.

Adding to 726530000 its reverse (35627), we get a palindrome (726565627).

The spelling of 726530000 in words is "seven hundred twenty-six million, five hundred thirty thousand".