72003510007 has 32 divisors (see below), whose sum is σ = 86967316800. Its totient is φ = 58728913920.

The previous prime is 72003509989. The next prime is 72003510083. The reversal of 72003510007 is 70001530027.

It is a cyclic number.

It is not a de Polignac number, because 72003510007 - 2¹⁵ = 72003477239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72003510907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5543773 + ... + 5556745.

It is an arithmetic number, because the mean of its divisors is an integer number (2717728650).

Almost surely, 2^72003510007 is an apocalyptic number.

72003510007 is a deficient number, since it is larger than the sum of its proper divisors (14963806793).

72003510007 is a wasteful number, since it uses less digits than its factorization.

72003510007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083.

The product of its (nonzero) digits is 1470, while the sum is 25.

The spelling of 72003510007 in words is "seventy-two billion, three million, five hundred ten thousand, seven".