72938257920 has 1680 divisors, whose sum is σ = 321218971920. Its totient is φ = 15765995520.

The previous prime is 72938257867. The next prime is 72938257927. The reversal of 72938257920 is 2975283927.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72938257927) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 3838855671 + ... + 3838855689.

It is an arithmetic number, because the mean of its divisors is an integer number (191201769).

Almost surely, 2^72938257920 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 72938257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160609485960).

72938257920 is an abundant number, since it is smaller than the sum of its proper divisors (248280714000).

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

72938257920 is a wasteful number, since it uses less digits than its factorization.

72938257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 72938257920 in words is "seventy-two billion, nine hundred thirty-eight million, two hundred fifty-seven thousand, nine hundred twenty".