72100336704 has 224 divisors, whose sum is σ = 217609058304. Its totient is φ = 20855070720.

The previous prime is 72100336687. The next prime is 72100336717. The reversal of 72100336704 is 40763300127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28804317 + ... + 28806819.

Almost surely, 2^72100336704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72100336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108804529152).

72100336704 is an abundant number, since it is smaller than the sum of its proper divisors (145508721600).

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

72100336704 is a wasteful number, since it uses less digits than its factorization.

72100336704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

It can be divided in two parts, 72100 and 336704, that added together give a palindrome (408804).

The spelling of 72100336704 in words is "seventy-two billion, one hundred million, three hundred thirty-six thousand, seven hundred four".