72164607 has 4 divisors (see below), whose sum is σ = 96219480. Its totient is φ = 48109736.

The previous prime is 72164597. The next prime is 72164623. The reversal of 72164607 is 70646127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70646127 = 3 ⋅23548709.

It is a cyclic number.

It is not a de Polignac number, because 72164607 - 2¹⁸ = 71902463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12027432 + ... + 12027437.

It is an arithmetic number, because the mean of its divisors is an integer number (24054870).

Almost surely, 2^72164607 is an apocalyptic number.

72164607 is a deficient number, since it is larger than the sum of its proper divisors (24054873).

72164607 is a wasteful number, since it uses less digits than its factorization.

72164607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24054872.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72164607 is about 8494.9753972569. The cubic root of 72164607 is about 416.3335569798. Note that the first 3 decimals are identical.

It can be divided in two parts, 72164 and 607, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72164607 in words is "seventy-two million, one hundred sixty-four thousand, six hundred seven".