72205693 has 4 divisors (see below), whose sum is σ = 82520800. Its totient is φ = 61890588.

The previous prime is 72205673. The next prime is 72205697. The reversal of 72205693 is 39650227.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72205693 - 2¹⁷ = 72074621 is a prime.

It is a super-3 number, since 3×72205693³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72205697) 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, 5157543 + ... + 5157556.

It is an arithmetic number, because the mean of its divisors is an integer number (20630200).

Almost surely, 2^72205693 is an apocalyptic number.

It is an amenable number.

72205693 is a deficient number, since it is larger than the sum of its proper divisors (10315107).

72205693 is a wasteful number, since it uses less digits than its factorization.

72205693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315106.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 72205693 is about 8497.3933061851. The cubic root of 72205693 is about 416.4125533927.

The spelling of 72205693 in words is "seventy-two million, two hundred five thousand, six hundred ninety-three".