726543100 has 72 divisors (see below), whose sum is σ = 1629739440. Its totient is φ = 280926720.

The previous prime is 726543079. The next prime is 726543107. The reversal of 726543100 is 1345627.

It is a super-2 number, since 2×726543100² = 1055729752315220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726543107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661752 + ... + 662848.

It is an arithmetic number, because the mean of its divisors is an integer number (22635270).

Almost surely, 2^726543100 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 726543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814869720).

726543100 is an abundant number, since it is smaller than the sum of its proper divisors (903196340).

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

726543100 is a wasteful number, since it uses less digits than its factorization.

726543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 726543100 is about 26954.4634522745. The cubic root of 726543100 is about 898.9877920625.

Adding to 726543100 its product of nonzero digits (5040), we get a triangular number (726548140 = T₃₈₁₁₉).

Adding to 726543100 its reverse (1345627), we get a palindrome (727888727).

The spelling of 726543100 in words is "seven hundred twenty-six million, five hundred forty-three thousand, one hundred".