72741450600 has 1920 divisors, whose sum is σ = 340290720000. Its totient is φ = 14265538560.

The previous prime is 72741450589. The next prime is 72741450623. The reversal of 72741450600 is 605414727.

72741450600 is a `hidden beast` number, since 7 + 2 + 7 + 4 + 1 + 45 + 0 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1372480174 + ... + 1372480226.

It is an arithmetic number, because the mean of its divisors is an integer number (177234750).

Almost surely, 2^72741450600 is an apocalyptic number.

72741450600 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 72741450600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360000).

72741450600 is an abundant number, since it is smaller than the sum of its proper divisors (267549269400).

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

72741450600 is a wasteful number, since it uses less digits than its factorization.

72741450600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72741450600 in words is "seventy-two billion, seven hundred forty-one million, four hundred fifty thousand, six hundred".