72482808704 has 64 divisors (see below), whose sum is σ = 145443770640. Its totient is φ = 35979780096.

The previous prime is 72482808701. The next prime is 72482808757. The reversal of 72482808704 is 40780828427.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72482808701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32400674 + ... + 32402910.

Almost surely, 2^72482808704 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 72482808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72721885320).

72482808704 is an abundant number, since it is smaller than the sum of its proper divisors (72960961936).

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

72482808704 is a wasteful number, since it uses less digits than its factorization.

72482808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 50.

The spelling of 72482808704 in words is "seventy-two billion, four hundred eighty-two million, eight hundred eight thousand, seven hundred four".