73049656729 has 9 divisors (see below), whose sum is σ = 84978332181. Its totient is φ = 62612369820.

The previous prime is 73049656703. The next prime is 73049656741. The reversal of 73049656729 is 92765694037.

It is a happy number.

The square root of 73049656729 is 270277.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 73049656729 - 2⁵ = 73049656697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73049686729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1872634 + ... + 1911244.

It is an arithmetic number, because the mean of its divisors is an integer number (9442036909).

Almost surely, 2^73049656729 is an apocalyptic number.

73049656729 is the 270277-th square number.

73049656729 is the 135139-th centered octagonal number.

It is an amenable number.

73049656729 is a deficient number, since it is larger than the sum of its proper divisors (11928675452).

73049656729 is an frugal number, since it uses more digits than its factorization.

73049656729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77236 (or 38618 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 73049656729 in words is "seventy-three billion, forty-nine million, six hundred fifty-six thousand, seven hundred twenty-nine".