72002476800 has 432 divisors, whose sum is σ = 265178340000. Its totient is φ = 19116933120.

The previous prime is 72002476789. The next prime is 72002476801. The reversal of 72002476800 is 867420027.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72002476801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46482426 + ... + 46483974.

It is an arithmetic number, because the mean of its divisors is an integer number (613838750).

Almost surely, 2^72002476800 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 72002476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132589170000).

72002476800 is an abundant number, since it is smaller than the sum of its proper divisors (193175863200).

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

72002476800 is a wasteful number, since it uses less digits than its factorization.

72002476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 72002476800 its reverse (867420027), we get a palindrome (72869896827).

The spelling of 72002476800 in words is "seventy-two billion, two million, four hundred seventy-six thousand, eight hundred".