72426700800000 has 2160 divisors, whose sum is σ = 282481962341040. Its totient is φ = 18473287680000.

The previous prime is 72426700799989. The next prime is 72426700800017. The reversal of 72426700800000 is 800762427.

It is a tau number, because it is divible by the number of its divisors (2160).

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

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 119 ways as a sum of consecutive naturals, for example, 1227571199971 + ... + 1227571200029.

It is an arithmetic number, because the mean of its divisors is an integer number (130778686269).

Almost surely, 2^{72426700800000} 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 72426700800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141240981170520).

72426700800000 is an abundant number, since it is smaller than the sum of its proper divisors (210055261541040).

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

72426700800000 is an frugal number, since it uses more digits than its factorization.

72426700800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 72426700800000 in words is "seventy-two trillion, four hundred twenty-six billion, seven hundred million, eight hundred thousand".