10072201617 has 24 divisors (see below), whose sum is σ = 14794790400. Its totient is φ = 6601952448.

The previous prime is 10072201603. The next prime is 10072201627. The reversal of 10072201617 is 71610227001.

It is not a de Polignac number, because 10072201617 - 2⁶ = 10072201553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10072201627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140293 + ... + 199565.

It is an arithmetic number, because the mean of its divisors is an integer number (616449600).

Almost surely, 2^10072201617 is an apocalyptic number.

It is an amenable number.

10072201617 is a deficient number, since it is larger than the sum of its proper divisors (4722588783).

10072201617 is a wasteful number, since it uses less digits than its factorization.

10072201617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59597 (or 59594 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 10072201617 its reverse (71610227001), we get a palindrome (81682428618).

The spelling of 10072201617 in words is "ten billion, seventy-two million, two hundred one thousand, six hundred seventeen".