72733885 has 36 divisors (see below), whose sum is σ = 105450228. Its totient is φ = 48018432.

The previous prime is 72733883. The next prime is 72733901. The reversal of 72733885 is 58833727.

It can be written as a sum of positive squares in 6 ways, for example, as 636804 + 72097081 = 798^2 + 8491^2 .

It is not a de Polignac number, because 72733885 - 2¹ = 72733883 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733883) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205869 + ... + 206221.

It is an arithmetic number, because the mean of its divisors is an integer number (2929173).

Almost surely, 2^72733885 is an apocalyptic number.

It is an amenable number.

72733885 is a deficient number, since it is larger than the sum of its proper divisors (32716343).

72733885 is a wasteful number, since it uses less digits than its factorization.

72733885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 394 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 72733885 is about 8528.4163242656. The cubic root of 72733885 is about 417.4254543181.

The spelling of 72733885 in words is "seventy-two million, seven hundred thirty-three thousand, eight hundred eighty-five".