72160765 has 16 divisors (see below), whose sum is σ = 91883520. Its totient is φ = 54250560.

The previous prime is 72160747. The next prime is 72160769. The reversal of 72160765 is 56706127.

It is not a de Polignac number, because 72160765 - 2¹¹ = 72158717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72160765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72160769) 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, 9075 + ... + 15055.

It is an arithmetic number, because the mean of its divisors is an integer number (5742720).

Almost surely, 2^72160765 is an apocalyptic number.

It is an amenable number.

72160765 is a deficient number, since it is larger than the sum of its proper divisors (19722755).

72160765 is a wasteful number, since it uses less digits than its factorization.

72160765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72160765 is about 8494.7492605727. The cubic root of 72160765 is about 416.3261683998.

It can be divided in two parts, 721607 and 65, that multiplied together give a triangular number (46904455 = T₉₆₈₅).

The spelling of 72160765 in words is "seventy-two million, one hundred sixty thousand, seven hundred sixty-five".