72665617 has 8 divisors (see below), whose sum is σ = 73313856. Its totient is φ = 72020592.

The previous prime is 72665609. The next prime is 72665623. The reversal of 72665617 is 71656627.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72665617 - 2³ = 72665609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72665617.

It is not an unprimeable number, because it can be changed into a prime (72665647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67828 + ... + 68890.

It is an arithmetic number, because the mean of its divisors is an integer number (9164232).

Almost surely, 2^72665617 is an apocalyptic number.

It is an amenable number.

72665617 is a deficient number, since it is larger than the sum of its proper divisors (648239).

72665617 is a wasteful number, since it uses less digits than its factorization.

72665617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607.

The product of its digits is 105840, while the sum is 40.

The square root of 72665617 is about 8524.4130003186. The cubic root of 72665617 is about 417.2948149732.

The spelling of 72665617 in words is "seventy-two million, six hundred sixty-five thousand, six hundred seventeen".