66729582 has 40 divisors (see below), whose sum is σ = 150935400. Its totient is φ = 22033296.

The previous prime is 66729581. The next prime is 66729599. The reversal of 66729582 is 28592766.

66729582 is a `hidden beast` number, since 6 + 67 + 2 + 9 + 582 = 666.

It is a super-2 number, since 2×66729582² = 8905674227789448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66729581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15769 + ... + 19547.

It is an arithmetic number, because the mean of its divisors is an integer number (3773385).

Almost surely, 2^66729582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66729582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75467700).

66729582 is an abundant number, since it is smaller than the sum of its proper divisors (84205818).

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

66729582 is a wasteful number, since it uses less digits than its factorization.

66729582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3893 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 66729582 is about 8168.8176623058. The cubic root of 66729582 is about 405.6076475222.

The spelling of 66729582 in words is "sixty-six million, seven hundred twenty-nine thousand, five hundred eighty-two".