72701243683200 has 1152 divisors, whose sum is σ = 295863993135360. Its totient is φ = 16826185728000.

The previous prime is 72701243683199. The next prime is 72701243683259. The reversal of 72701243683200 is 238634210727.

72701243683200 is a `hidden beast` number, since 7 + 2 + 7 + 0 + 1 + 2 + 436 + 8 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 3941933179 + ... + 3941951621.

It is an arithmetic number, because the mean of its divisors is an integer number (256826382930).

Almost surely, 2^{72701243683200} 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 72701243683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147931996567680).

72701243683200 is an abundant number, since it is smaller than the sum of its proper divisors (223162749452160).

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

72701243683200 is a wasteful number, since it uses less digits than its factorization.

72701243683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19048 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

Adding to 72701243683200 its reverse (238634210727), we get a palindrome (72939877893927).

The spelling of 72701243683200 in words is "seventy-two trillion, seven hundred one billion, two hundred forty-three million, six hundred eighty-three thousand, two hundred".