726067200 has 288 divisors, whose sum is σ = 2498277600. Its totient is φ = 185794560.

The previous prime is 726067187. The next prime is 726067211. The reversal of 726067200 is 2760627.

It is a super-3 number, since 3×726067200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4454319 + ... + 4454481.

It is an arithmetic number, because the mean of its divisors is an integer number (8674575).

Almost surely, 2^726067200 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 726067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249138800).

726067200 is an abundant number, since it is smaller than the sum of its proper divisors (1772210400).

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

726067200 is a wasteful number, since it uses less digits than its factorization.

726067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 726067200 is about 26945.6341547198. The cubic root of 726067200 is about 898.7914643033.

The spelling of 726067200 in words is "seven hundred twenty-six million, sixty-seven thousand, two hundred".