42072705 has 48 divisors (see below), whose sum is σ = 79073280. Its totient is φ = 20611584.

The previous prime is 42072691. The next prime is 42072731. The reversal of 42072705 is 50727024.

It is not a de Polignac number, because 42072705 - 2⁹ = 42072193 is a prime.

It is a super-2 number, since 2×42072705² = 3540225012034050, 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 47 ways as a sum of consecutive naturals, for example, 32256 + ... + 33534.

It is an arithmetic number, because the mean of its divisors is an integer number (1647360).

Almost surely, 2^42072705 is an apocalyptic number.

42072705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42072705 is a deficient number, since it is larger than the sum of its proper divisors (37000575).

42072705 is a wasteful number, since it uses less digits than its factorization.

42072705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42072705 is about 6486.3475855060. The cubic root of 42072705 is about 347.8031238769.

Adding to 42072705 its reverse (50727024), we get a palindrome (92799729).

The spelling of 42072705 in words is "forty-two million, seventy-two thousand, seven hundred five".