72102300822 has 80 divisors (see below), whose sum is σ = 170278479360. Its totient is φ = 22740682608.

The previous prime is 72102300737. The next prime is 72102300859. The reversal of 72102300822 is 22800320127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2518963 + ... + 2547425.

It is an arithmetic number, because the mean of its divisors is an integer number (2128480992).

Almost surely, 2^72102300822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72102300822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85139239680).

72102300822 is an abundant number, since it is smaller than the sum of its proper divisors (98176178538).

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

72102300822 is a wasteful number, since it uses less digits than its factorization.

72102300822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29319 (or 29310 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 72102300822 its reverse (22800320127), we get a palindrome (94902620949).

It can be divided in two parts, 7210 and 2300822, that added together give a palindrome (2308032).

The spelling of 72102300822 in words is "seventy-two billion, one hundred two million, three hundred thousand, eight hundred twenty-two".