66349072 has 20 divisors (see below), whose sum is σ = 128700220. Its totient is φ = 33136128.

The previous prime is 66349061. The next prime is 66349081. The reversal of 66349072 is 27094366.

It can be written as a sum of positive squares in 2 ways, for example, as 4946176 + 61402896 = 2224^2 + 7836^2 .

It is a super-2 number, since 2×66349072² = 8804398710522368, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 16228 + ... + 19900.

It is an arithmetic number, because the mean of its divisors is an integer number (6435011).

Almost surely, 2^66349072 is an apocalyptic number.

It is an amenable number.

66349072 is a deficient number, since it is larger than the sum of its proper divisors (62351148).

66349072 is a wasteful number, since it uses less digits than its factorization.

66349072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 66349072 is about 8145.4939690604. The cubic root of 66349072 is about 404.8352162023.

The spelling of 66349072 in words is "sixty-six million, three hundred forty-nine thousand, seventy-two".