72944988480 has 1344 divisors, whose sum is σ = 335565780480. Its totient is φ = 14523826176.

The previous prime is 72944988443. The next prime is 72944988481. The reversal of 72944988480 is 8488944927.

72944988480 is a `hidden beast` number, since 7 + 29 + 44 + 98 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72944988481) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 283832512 + ... + 283832768.

It is an arithmetic number, because the mean of its divisors is an integer number (249676920).

Almost surely, 2^72944988480 is an apocalyptic number.

72944988480 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 72944988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167782890240).

72944988480 is an abundant number, since it is smaller than the sum of its proper divisors (262620792000).

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

72944988480 is a wasteful number, since it uses less digits than its factorization.

72944988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 72944988480 in words is "seventy-two billion, nine hundred forty-four million, nine hundred eighty-eight thousand, four hundred eighty".