72733865 has 8 divisors (see below), whose sum is σ = 87330120. Its totient is φ = 58154112.

The previous prime is 72733853. The next prime is 72733867. The reversal of 72733865 is 56833727.

It can be written as a sum of positive squares in 4 ways, for example, as 21353641 + 51380224 = 4621^2 + 7168^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72733865 - 2¹⁶ = 72668329 is a prime.

It is a super-3 number, since 3×72733865³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72733867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9941 + ... + 15629.

It is an arithmetic number, because the mean of its divisors is an integer number (10916265).

Almost surely, 2^72733865 is an apocalyptic number.

It is an amenable number.

72733865 is a deficient number, since it is larger than the sum of its proper divisors (14596255).

72733865 is a wasteful number, since it uses less digits than its factorization.

72733865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251.

The product of its digits is 211680, while the sum is 41.

The square root of 72733865 is about 8528.4151517149. The cubic root of 72733865 is about 417.4254160576.

The spelling of 72733865 in words is "seventy-two million, seven hundred thirty-three thousand, eight hundred sixty-five".