729224811 has 72 divisors (see below), whose sum is σ = 1296667008. Its totient is φ = 393120000.

The previous prime is 729224791. The next prime is 729224819. The reversal of 729224811 is 118422927.

It is not a de Polignac number, because 729224811 - 2¹⁴ = 729208427 is a prime.

It is a super-3 number, since 3×729224811³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (729224819) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 559861 + ... + 561161.

It is an arithmetic number, because the mean of its divisors is an integer number (18009264).

Almost surely, 2^729224811 is an apocalyptic number.

729224811 is a deficient number, since it is larger than the sum of its proper divisors (567442197).

729224811 is a wasteful number, since it uses less digits than its factorization.

729224811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1383 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 729224811 is about 27004.1628457540. The cubic root of 729224811 is about 900.0925053065.

The spelling of 729224811 in words is "seven hundred twenty-nine million, two hundred twenty-four thousand, eight hundred eleven".