72106065 has 32 divisors (see below), whose sum is σ = 129830400. Its totient is φ = 37964160.

The previous prime is 72106049. The next prime is 72106079. The reversal of 72106065 is 56060127.

It is not a de Polignac number, because 72106065 - 2⁴ = 72106049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7285 + ... + 14045.

It is an arithmetic number, because the mean of its divisors is an integer number (4057200).

Almost surely, 2^72106065 is an apocalyptic number.

It is an amenable number.

72106065 is a deficient number, since it is larger than the sum of its proper divisors (57724335).

72106065 is a wasteful number, since it uses less digits than its factorization.

72106065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6854 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72106065 is about 8491.5290142589. The cubic root of 72106065 is about 416.2209459471.

The spelling of 72106065 in words is "seventy-two million, one hundred six thousand, sixty-five".