1007272005 has 16 divisors (see below), whose sum is σ = 1681706880. Its totient is φ = 513854528.

The previous prime is 1007272003. The next prime is 1007272009. The reversal of 1007272005 is 5002727001.

1007272005 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1007272005 - 2¹ = 1007272003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007272003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1459470 + ... + 1460159.

It is an arithmetic number, because the mean of its divisors is an integer number (105106680).

Almost surely, 2^1007272005 is an apocalyptic number.

1007272005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007272005 is a deficient number, since it is larger than the sum of its proper divisors (674434875).

1007272005 is a wasteful number, since it uses less digits than its factorization.

1007272005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919660.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 1007272005 is about 31737.5488183949. The cubic root of 1007272005 is about 1002.4181495063.

Adding to 1007272005 its reverse (5002727001), we get a palindrome (6009999006).

The spelling of 1007272005 in words is "one billion, seven million, two hundred seventy-two thousand, five".