726443200 has 168 divisors, whose sum is σ = 2099271392. Its totient is φ = 242196480.

The previous prime is 726443197. The next prime is 726443209. The reversal of 726443200 is 2344627.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (726443209) 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, 413524 + ... + 415276.

Almost surely, 2^726443200 is an apocalyptic number.

726443200 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 726443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049635696).

726443200 is an abundant number, since it is smaller than the sum of its proper divisors (1372828192).

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

726443200 is a wasteful number, since it uses less digits than its factorization.

726443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 726443200 is about 26952.6102632009. The cubic root of 726443200 is about 898.9465864332.

Adding to 726443200 its reverse (2344627), we get a palindrome (728787827).

The spelling of 726443200 in words is "seven hundred twenty-six million, four hundred forty-three thousand, two hundred".