72285821933 has 24 divisors (see below), whose sum is σ = 78857222472. Its totient is φ = 66229532928.

The previous prime is 72285821899. The next prime is 72285821953. The reversal of 72285821933 is 33912858227.

It can be written as a sum of positive squares in 12 ways, for example, as 977062564 + 71308759369 = 31258^2 + 267037^2 .

It is not a de Polignac number, because 72285821933 - 2¹⁶ = 72285756397 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 (72285821953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21429035 + ... + 21432407.

It is an arithmetic number, because the mean of its divisors is an integer number (3285717603).

Almost surely, 2^72285821933 is an apocalyptic number.

It is an amenable number.

72285821933 is a deficient number, since it is larger than the sum of its proper divisors (6571400539).

72285821933 is a wasteful number, since it uses less digits than its factorization.

72285821933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4292 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The spelling of 72285821933 in words is "seventy-two billion, two hundred eighty-five million, eight hundred twenty-one thousand, nine hundred thirty-three".