73813729 has 24 divisors (see below), whose sum is σ = 85288320. Its totient is φ = 63336000.

The previous prime is 73813709. The next prime is 73813763. The reversal of 73813729 is 92731837.

It is not a de Polignac number, because 73813729 - 2¹⁷ = 73682657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73813691 and 73813700.

It is not an unprimeable number, because it can be changed into a prime (73813709) 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 23 ways as a sum of consecutive naturals, for example, 730779 + ... + 730879.

It is an arithmetic number, because the mean of its divisors is an integer number (3553680).

Almost surely, 2^73813729 is an apocalyptic number.

73813729 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

73813729 is a deficient number, since it is larger than the sum of its proper divisors (11474591).

73813729 is a wasteful number, since it uses less digits than its factorization.

73813729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 73813729 is about 8591.4916632678. The cubic root of 73813729 is about 419.4810843825.

The spelling of 73813729 in words is "seventy-three million, eight hundred thirteen thousand, seven hundred twenty-nine".