72361615200 has 288 divisors, whose sum is σ = 285020757504. Its totient is φ = 15566807040.

The previous prime is 72361615199. The next prime is 72361615213. The reversal of 72361615200 is 251616327.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 158917 + ... + 412283.

It is an arithmetic number, because the mean of its divisors is an integer number (989655408).

Almost surely, 2^72361615200 is an apocalyptic number.

72361615200 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 72361615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142510378752).

72361615200 is an abundant number, since it is smaller than the sum of its proper divisors (212659142304).

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

72361615200 is a wasteful number, since it uses less digits than its factorization.

72361615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253414 (or 253401 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 72361615200 in words is "seventy-two billion, three hundred sixty-one million, six hundred fifteen thousand, two hundred".