72032564117 has 16 divisors (see below), whose sum is σ = 73249012800. Its totient is φ = 70825941120.

The previous prime is 72032564083. The next prime is 72032564143. The reversal of 72032564117 is 71146523027.

It is a cyclic number.

It is not a de Polignac number, because 72032564117 - 2¹⁰ = 72032563093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72032534117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23858234 + ... + 23861252.

It is an arithmetic number, because the mean of its divisors is an integer number (4578063300).

Almost surely, 2^72032564117 is an apocalyptic number.

It is an amenable number.

72032564117 is a deficient number, since it is larger than the sum of its proper divisors (1216448683).

72032564117 is a wasteful number, since it uses less digits than its factorization.

72032564117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516.

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 72032564117 in words is "seventy-two billion, thirty-two million, five hundred sixty-four thousand, one hundred seventeen".