66726144 has 54 divisors (see below), whose sum is σ = 192394566. Its totient is φ = 22241280.

The previous prime is 66726103. The next prime is 66726199. The reversal of 66726144 is 44162766.

It can be written as a sum of positive squares in only one way, i.e., 65804544 + 921600 = 8112^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66726099 and 66726108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12177 + ... + 16784.

Almost surely, 2^66726144 is an apocalyptic number.

66726144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66726144 is an abundant number, since it is smaller than the sum of its proper divisors (125668422).

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

66726144 is a wasteful number, since it uses less digits than its factorization.

66726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28983 (or 28966 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 66726144 is about 8168.6072252251. The cubic root of 66726144 is about 405.6006815810.

The spelling of 66726144 in words is "sixty-six million, seven hundred twenty-six thousand, one hundred forty-four".