72153244800 has 2880 divisors, whose sum is σ = 366379675200. Its totient is φ = 13795246080.

The previous prime is 72153244783. The next prime is 72153244817. The reversal of 72153244800 is 844235127.

It is a happy number.

72153244800 is a `hidden beast` number, since 7 + 2 + 1 + 532 + 44 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72153244783) and next prime (72153244817).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 3137097589 + ... + 3137097611.

It is an arithmetic number, because the mean of its divisors is an integer number (127215165).

Almost surely, 2^72153244800 is an apocalyptic number.

72153244800 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 72153244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183189837600).

72153244800 is an abundant number, since it is smaller than the sum of its proper divisors (294226430400).

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

72153244800 is a wasteful number, since it uses less digits than its factorization.

72153244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 72153244800 its reverse (844235127), we get a palindrome (72997479927).

The spelling of 72153244800 in words is "seventy-two billion, one hundred fifty-three million, two hundred forty-four thousand, eight hundred".