66729096 has 160 divisors (see below), whose sum is σ = 218845440. Its totient is φ = 18600192.

The previous prime is 66729079. The next prime is 66729101. The reversal of 66729096 is 69092766.

66729096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 213036 + ... + 213348.

It is an arithmetic number, because the mean of its divisors is an integer number (1367784).

Almost surely, 2^66729096 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 66729096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109422720).

66729096 is an abundant number, since it is smaller than the sum of its proper divisors (152116344).

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

66729096 is a wasteful number, since it uses less digits than its factorization.

66729096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 66729096 is about 8168.7879149847. The cubic root of 66729096 is about 405.6066628225.

The spelling of 66729096 in words is "sixty-six million, seven hundred twenty-nine thousand, ninety-six".