72084733 has 6 divisors (see below), whose sum is σ = 83853726. Its totient is φ = 61786872.

The previous prime is 72084731. The next prime is 72084757. The reversal of 72084733 is 33748027.

It can be written as a sum of positive squares in only one way, i.e., 44595684 + 27489049 = 6678^2 + 5243^2 .

It is not a de Polignac number, because 72084733 - 2¹ = 72084731 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 (72084731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 735510 + ... + 735607.

It is an arithmetic number, because the mean of its divisors is an integer number (13975621).

Almost surely, 2^72084733 is an apocalyptic number.

It is an amenable number.

72084733 is a deficient number, since it is larger than the sum of its proper divisors (11768993).

72084733 is a wasteful number, since it uses less digits than its factorization.

72084733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471131 (or 1471124 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 72084733 is about 8490.2728460280. The cubic root of 72084733 is about 416.1798966912.

The spelling of 72084733 in words is "seventy-two million, eighty-four thousand, seven hundred thirty-three".