72416617 has 16 divisors (see below), whose sum is σ = 94372992. Its totient is φ = 53925120.

The previous prime is 72416599. The next prime is 72416621. The reversal of 72416617 is 71661427.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72416617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72416647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21859 + ... + 24952.

It is an arithmetic number, because the mean of its divisors is an integer number (5898312).

Almost surely, 2^72416617 is an apocalyptic number.

It is an amenable number.

72416617 is a deficient number, since it is larger than the sum of its proper divisors (21956375).

72416617 is a wasteful number, since it uses less digits than its factorization.

72416617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46848.

The product of its digits is 14112, while the sum is 34.

The square root of 72416617 is about 8509.7953559413. The cubic root of 72416617 is about 416.8176277170.

The spelling of 72416617 in words is "seventy-two million, four hundred sixteen thousand, six hundred seventeen".