72100065 has 32 divisors (see below), whose sum is σ = 118143360. Its totient is φ = 37535744.

The previous prime is 72100051. The next prime is 72100069. The reversal of 72100065 is 56000127.

It is a cyclic number.

It is not a de Polignac number, because 72100065 - 2⁹ = 72099553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72100069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227287 + ... + 227603.

It is an arithmetic number, because the mean of its divisors is an integer number (3691980).

Almost surely, 2^72100065 is an apocalyptic number.

It is an amenable number.

72100065 is a deficient number, since it is larger than the sum of its proper divisors (46043295).

72100065 is a wasteful number, since it uses less digits than its factorization.

72100065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72100065 is about 8491.1757136453. The cubic root of 72100065 is about 416.2094009407.

The spelling of 72100065 in words is "seventy-two million, one hundred thousand, sixty-five".