72775000800 has 1296 divisors, whose sum is σ = 302268434832. Its totient is φ = 17020108800.

The previous prime is 72775000789. The next prime is 72775000807. The reversal of 72775000800 is 800057727.

72775000800 is a `hidden beast` number, since 7 + 2 + 77 + 500 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72775000807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1193032770 + ... + 1193032830.

It is an arithmetic number, because the mean of its divisors is an integer number (233231817).

Almost surely, 2^72775000800 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 72775000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151134217416).

72775000800 is an abundant number, since it is smaller than the sum of its proper divisors (229493434032).

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

72775000800 is a wasteful number, since it uses less digits than its factorization.

72775000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 72775000800 in words is "seventy-two billion, seven hundred seventy-five million, eight hundred", and thus it is an aban number.