72758476800000 has 2592 divisors, whose sum is σ = 295186892704704. Its totient is φ = 17836277760000.

The previous prime is 72758476799977. The next prime is 72758476800049. The reversal of 72758476800000 is 867485727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×72758476800000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72758476800000.

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 143 ways as a sum of consecutive naturals, for example, 1692057599979 + ... + 1692057600021.

It is an arithmetic number, because the mean of its divisors is an integer number (113883832062).

Almost surely, 2^{72758476800000} 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 72758476800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147593446352352).

72758476800000 is an abundant number, since it is smaller than the sum of its proper divisors (222428415904704).

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

72758476800000 is an frugal number, since it uses more digits than its factorization.

72758476800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 72758476800000 in words is "seventy-two trillion, seven hundred fifty-eight billion, four hundred seventy-six million, eight hundred thousand".