72285699600 has 135 divisors (see below), whose sum is σ = 250907450599. Its totient is φ = 19271884800.

The previous prime is 72285699589. The next prime is 72285699601. The reversal of 72285699600 is 699658227.

The square root of 72285699600 is 268860.

It is a perfect power (a square), and thus also a powerful number.

72285699600 is a `hidden beast` number, since 7 + 2 + 28 + 5 + 6 + 9 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1852785936 + 70432913664 = 43044^2 + 265392^2 .

It is a super-2 number, since 2×72285699600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72285699601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16129360 + ... + 16133840.

Almost surely, 2^72285699600 is an apocalyptic number.

72285699600 is the 268860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72285699600

72285699600 is an abundant number, since it is smaller than the sum of its proper divisors (178621750999).

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

72285699600 is an equidigital number, since it uses as much as digits as its factorization.

72285699600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 72285699600 in words is "seventy-two billion, two hundred eighty-five million, six hundred ninety-nine thousand, six hundred".