72735828 has 48 divisors (see below), whose sum is σ = 191540160. Its totient is φ = 21280000.

The previous prime is 72735823. The next prime is 72735863. The reversal of 72735828 is 82853727.

It is a self number, because there is not a number n which added to its sum of digits gives 72735828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72735823) 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 15 ways as a sum of consecutive naturals, for example, 5673 + ... + 13328.

It is an arithmetic number, because the mean of its divisors is an integer number (3990420).

Almost surely, 2^72735828 is an apocalyptic number.

It is an amenable number.

72735828 is an abundant number, since it is smaller than the sum of its proper divisors (118804332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72735828 is a wasteful number, since it uses less digits than its factorization.

72735828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19048 (or 19046 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 72735828 is about 8528.5302367993. The cubic root of 72735828 is about 417.4291712946.

The spelling of 72735828 in words is "seventy-two million, seven hundred thirty-five thousand, eight hundred twenty-eight".