66729025 has 24 divisors (see below), whose sum is σ = 90869184. Its totient is φ = 48206400.

The previous prime is 66728999. The next prime is 66729043. The reversal of 66729025 is 52092766.

66729025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66729025 - 2⁵ = 66728993 is a prime.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 45199 + ... + 46651.

It is an arithmetic number, because the mean of its divisors is an integer number (3786216).

Almost surely, 2^66729025 is an apocalyptic number.

It is an amenable number.

66729025 is a deficient number, since it is larger than the sum of its proper divisors (24140159).

66729025 is a wasteful number, since it uses less digits than its factorization.

66729025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 66729025 is about 8168.7835691736. The cubic root of 66729025 is about 405.6065189668.

It can be divided in two parts, 667 and 29025, that added together give a palindrome (29692).

The spelling of 66729025 in words is "sixty-six million, seven hundred twenty-nine thousand, twenty-five".