72284533827 has 16 divisors (see below), whose sum is σ = 105180311808. Its totient is φ = 43792486880.

The previous prime is 72284533807. The next prime is 72284533829. The reversal of 72284533827 is 72833548227.

It is a cyclic number.

It is not a de Polignac number, because 72284533827 - 2¹⁵ = 72284501059 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 72284533827.

It is not an unprimeable number, because it can be changed into a prime (72284533829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317823 + ... + 495560.

It is an arithmetic number, because the mean of its divisors is an integer number (6573769488).

Almost surely, 2^72284533827 is an apocalyptic number.

72284533827 is a deficient number, since it is larger than the sum of its proper divisors (32895777981).

72284533827 is a wasteful number, since it uses less digits than its factorization.

72284533827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816090.

The product of its digits is 4515840, while the sum is 51.

The spelling of 72284533827 in words is "seventy-two billion, two hundred eighty-four million, five hundred thirty-three thousand, eight hundred twenty-seven".