100072765 has 16 divisors (see below), whose sum is σ = 133786800. Its totient is φ = 71350272.

The previous prime is 100072733. The next prime is 100072769. The reversal of 100072765 is 567270001.

It can be written as a sum of positive squares in 8 ways, for example, as 24226084 + 75846681 = 4922^2 + 8709^2 .

It is a cyclic number.

It is not a de Polignac number, because 100072765 - 2⁵ = 100072733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072769) 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, 24660 + ... + 28429.

It is an arithmetic number, because the mean of its divisors is an integer number (8361675).

Almost surely, 2^100072765 is an apocalyptic number.

It is an amenable number.

100072765 is a deficient number, since it is larger than the sum of its proper divisors (33714035).

100072765 is a wasteful number, since it uses less digits than its factorization.

100072765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53136.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 100072765 is about 10003.6375883975. The cubic root of 100072765 is about 464.2714378028.

The spelling of 100072765 in words is "one hundred million, seventy-two thousand, seven hundred sixty-five".