72603841400 has 384 divisors, whose sum is σ = 193172636160. Its totient is φ = 25239552000.

The previous prime is 72603841379. The next prime is 72603841517. The reversal of 72603841400 is 414830627.

It is a Cunningham number, because it is equal to 269451²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229034042 + ... + 229034358.

It is an arithmetic number, because the mean of its divisors is an integer number (503053740).

Almost surely, 2^72603841400 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 72603841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96586318080).

72603841400 is an abundant number, since it is smaller than the sum of its proper divisors (120568794760).

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

72603841400 is a wasteful number, since it uses less digits than its factorization.

72603841400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 72603841400 in words is "seventy-two billion, six hundred three million, eight hundred forty-one thousand, four hundred".