72816861600 has 2160 divisors, whose sum is σ = 349138278720. Its totient is φ = 14631321600.

The previous prime is 72816861577. The next prime is 72816861629. The reversal of 72816861600 is 616861827.

It is a happy number.

72816861600 is a `hidden beast` number, since 7 + 28 + 1 + 6 + 8 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1025589565 + ... + 1025589635.

It is an arithmetic number, because the mean of its divisors is an integer number (161638092).

Almost surely, 2^72816861600 is an apocalyptic number.

72816861600 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 72816861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174569139360).

72816861600 is an abundant number, since it is smaller than the sum of its proper divisors (276321417120).

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

72816861600 is a wasteful number, since it uses less digits than its factorization.

72816861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 72816861600 in words is "seventy-two billion, eight hundred sixteen million, eight hundred sixty-one thousand, six hundred".