72603839862400 has 3456 divisors, whose sum is σ = 255436276032000. Its totient is φ = 20233027584000.

The previous prime is 72603839862349. The next prime is 72603839862409. The reversal of 72603839862400 is 426893830627.

72603839862400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (72603839862409) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 815773481556 + ... + 815773481644.

It is an arithmetic number, because the mean of its divisors is an integer number (73910959500).

Almost surely, 2^{72603839862400} is an apocalyptic number.

72603839862400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72603839862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127718138016000).

72603839862400 is an abundant number, since it is smaller than the sum of its proper divisors (182832436169600).

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

72603839862400 is a wasteful number, since it uses less digits than its factorization.

72603839862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 72603839862400 in words is "seventy-two trillion, six hundred three billion, eight hundred thirty-nine million, eight hundred sixty-two thousand, four hundred".