72073793844 has 480 divisors, whose sum is σ = 226293328800. Its totient is φ = 19787120640.

The previous prime is 72073793837. The next prime is 72073793881. The reversal of 72073793844 is 44839737027.

It can be written as a sum of positive squares in 16 ways, for example, as 45190256400 + 26883537444 = 212580^2 + 163962^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126667192 + ... + 126667760.

It is an arithmetic number, because the mean of its divisors is an integer number (471444435).

Almost surely, 2^72073793844 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 72073793844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113146664400).

72073793844 is an abundant number, since it is smaller than the sum of its proper divisors (154219534956).

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

72073793844 is a wasteful number, since it uses less digits than its factorization.

72073793844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 72073793844 in words is "seventy-two billion, seventy-three million, seven hundred ninety-three thousand, eight hundred forty-four".