72102388033 has 8 divisors (see below), whose sum is σ = 77653390248. Its totient is φ = 66552052224.

The previous prime is 72102388027. The next prime is 72102388117. The reversal of 72102388033 is 33088320127.

It can be written as a sum of positive squares in 4 ways, for example, as 22466112769 + 49636275264 = 149887^2 + 222792^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72102388033 - 2²¹ = 72100290881 is a prime.

It is a super-2 number, since 2×72102388033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72102387983 and 72102388001.

It is not an unprimeable number, because it can be changed into a prime (72102328033) 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 7 ways as a sum of consecutive naturals, for example, 70641 + ... + 386257.

It is an arithmetic number, because the mean of its divisors is an integer number (9706673781).

Almost surely, 2^72102388033 is an apocalyptic number.

It is an amenable number.

72102388033 is a deficient number, since it is larger than the sum of its proper divisors (5551002215).

72102388033 is a wasteful number, since it uses less digits than its factorization.

72102388033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333203.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 72102388033 in words is "seventy-two billion, one hundred two million, three hundred eighty-eight thousand, thirty-three".