72151054800 has 240 divisors, whose sum is σ = 252729776640. Its totient is φ = 17449920000.

The previous prime is 72151054799. The next prime is 72151054817. The reversal of 72151054800 is 845015127.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5788575 + ... + 5801025.

It is an arithmetic number, because the mean of its divisors is an integer number (1053040736).

Almost surely, 2^72151054800 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 72151054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126364888320).

72151054800 is an abundant number, since it is smaller than the sum of its proper divisors (180578721840).

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

72151054800 is a wasteful number, since it uses less digits than its factorization.

72151054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

Adding to 72151054800 its reverse (845015127), we get a palindrome (72996069927).

The spelling of 72151054800 in words is "seventy-two billion, one hundred fifty-one million, fifty-four thousand, eight hundred".