72884733 has 24 divisors (see below), whose sum is σ = 101662848. Its totient is φ = 46420992.

The previous prime is 72884711. The next prime is 72884737. The reversal of 72884733 is 33748827.

It is not a de Polignac number, because 72884733 - 2⁸ = 72884477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72884737) 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 23 ways as a sum of consecutive naturals, for example, 751341 + ... + 751437.

It is an arithmetic number, because the mean of its divisors is an integer number (4235952).

Almost surely, 2^72884733 is an apocalyptic number.

72884733 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72884733 is a deficient number, since it is larger than the sum of its proper divisors (28778115).

72884733 is an equidigital number, since it uses as much as digits as its factorization.

72884733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 220 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 72884733 is about 8537.2555894737. The cubic root of 72884733 is about 417.7138312045.

It can be divided in two parts, 7288 and 4733, that added together give a palindrome (12021).

The spelling of 72884733 in words is "seventy-two million, eight hundred eighty-four thousand, seven hundred thirty-three".