66725760 has 128 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 17008640.

The previous prime is 66725749. The next prime is 66725773. The reversal of 66725760 is 6752766.

66725760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 43405 + ... + 44915.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^66725760 is an apocalyptic number.

66725760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

66725760 is an abundant number, since it is smaller than the sum of its proper divisors (155356800).

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

66725760 is a wasteful number, since it uses less digits than its factorization.

66725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 66725760 is about 8168.5837205724. The cubic root of 66725760 is about 405.5999035203.

The spelling of 66725760 in words is "sixty-six million, seven hundred twenty-five thousand, seven hundred sixty".