72809729 has 12 divisors (see below), whose sum is σ = 77449680. Its totient is φ = 68434200.

The previous prime is 72809713. The next prime is 72809741. The reversal of 72809729 is 92790827.

It is not a de Polignac number, because 72809729 - 2⁴ = 72809713 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72809729.

It is not an unprimeable number, because it can be changed into a prime (72839729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49454 + ... + 50904.

It is an arithmetic number, because the mean of its divisors is an integer number (6454140).

Almost surely, 2^72809729 is an apocalyptic number.

It is an amenable number.

72809729 is a deficient number, since it is larger than the sum of its proper divisors (4639951).

72809729 is a wasteful number, since it uses less digits than its factorization.

72809729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 72809729 is about 8532.8617122276. The cubic root of 72809729 is about 417.5704954646.

The spelling of 72809729 in words is "seventy-two million, eight hundred nine thousand, seven hundred twenty-nine".