10002072765 has 16 divisors (see below), whose sum is σ = 16060274496. Its totient is φ = 5315452800.

The previous prime is 10002072737. The next prime is 10002072781. The reversal of 10002072765 is 56727020001.

It is not a de Polignac number, because 10002072765 - 2¹⁰ = 10002071741 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182271 + ... + 1190700.

It is an arithmetic number, because the mean of its divisors is an integer number (1003767156).

Almost surely, 2^10002072765 is an apocalyptic number.

10002072765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002072765 is a deficient number, since it is larger than the sum of its proper divisors (6058201731).

10002072765 is a wasteful number, since it uses less digits than its factorization.

10002072765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373260.

The product of its (nonzero) digits is 5880, while the sum is 30.

Adding to 10002072765 its reverse (56727020001), we get a palindrome (66729092766).

The spelling of 10002072765 in words is "ten billion, two million, seventy-two thousand, seven hundred sixty-five".