72709065 has 48 divisors (see below), whose sum is σ = 148075200. Its totient is φ = 32538240.

The previous prime is 72709037. The next prime is 72709069. The reversal of 72709065 is 56090727.

It is not a de Polignac number, because 72709065 - 2⁸ = 72708809 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72709069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786 + ... + 12084.

It is an arithmetic number, because the mean of its divisors is an integer number (3084900).

Almost surely, 2^72709065 is an apocalyptic number.

It is an amenable number.

72709065 is an abundant number, since it is smaller than the sum of its proper divisors (75366135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72709065 is a wasteful number, since it uses less digits than its factorization.

72709065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72709065 is about 8526.9610647639. The cubic root of 72709065 is about 417.3779676091.

It can be divided in two parts, 7 and 2709065, that added together give a palindrome (2709072).

The spelling of 72709065 in words is "seventy-two million, seven hundred nine thousand, sixty-five".