72115617 has 16 divisors (see below), whose sum is σ = 110010240. Its totient is φ = 41164032.

The previous prime is 72115609. The next prime is 72115619. The reversal of 72115617 is 71651127.

It is not a de Polignac number, because 72115617 - 2³ = 72115609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72115619) 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, 32809 + ... + 34937.

It is an arithmetic number, because the mean of its divisors is an integer number (6875640).

Almost surely, 2^72115617 is an apocalyptic number.

It is an amenable number.

72115617 is a deficient number, since it is larger than the sum of its proper divisors (37894623).

72115617 is a wasteful number, since it uses less digits than its factorization.

72115617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752.

The product of its digits is 2940, while the sum is 30.

The square root of 72115617 is about 8492.0914385091. The cubic root of 72115617 is about 416.2393242760.

The spelling of 72115617 in words is "seventy-two million, one hundred fifteen thousand, six hundred seventeen".