72848120044000 has 384 divisors, whose sum is σ = 216722605252608. Its totient is φ = 23492935065600.

The previous prime is 72848120043977. The next prime is 72848120044033. The reversal of 72848120044000 is 44002184827.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 63 ways as a sum of consecutive naturals, for example, 793446097 + ... + 793537903.

It is an arithmetic number, because the mean of its divisors is an integer number (564381784512).

Almost surely, 2^{72848120044000} is an apocalyptic number.

72848120044000 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 72848120044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108361302626304).

72848120044000 is an abundant number, since it is smaller than the sum of its proper divisors (143874485208608).

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

72848120044000 is a wasteful number, since it uses less digits than its factorization.

72848120044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93523 (or 93505 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 72848120044000 in words is "seventy-two trillion, eight hundred forty-eight billion, one hundred twenty million, forty-four thousand".