72059065 has 24 divisors (see below), whose sum is σ = 95460120. Its totient is φ = 52176384.

The previous prime is 72059051. The next prime is 72059087. The reversal of 72059065 is 56095027.

It can be written as a sum of positive squares in 12 ways, for example, as 12089529 + 59969536 = 3477^2 + 7744^2 .

It is not a de Polignac number, because 72059065 - 2⁵ = 72059033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72059065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43981 + ... + 45589.

It is an arithmetic number, because the mean of its divisors is an integer number (3977505).

Almost surely, 2^72059065 is an apocalyptic number.

It is an amenable number.

72059065 is a deficient number, since it is larger than the sum of its proper divisors (23401055).

72059065 is a wasteful number, since it uses less digits than its factorization.

72059065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 72059065 is about 8488.7610992417. The cubic root of 72059065 is about 416.1304929162.

The spelling of 72059065 in words is "seventy-two million, fifty-nine thousand, sixty-five".