72481789440 has 320 divisors, whose sum is σ = 265774417920. Its totient is φ = 18704424960.

The previous prime is 72481789423. The next prime is 72481789507. The reversal of 72481789440 is 4498718427.

72481789440 is a `hidden beast` number, since 7 + 2 + 481 + 78 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125807 + ... + 2159633.

It is an arithmetic number, because the mean of its divisors is an integer number (830545056).

Almost surely, 2^72481789440 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 72481789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132887208960).

72481789440 is an abundant number, since it is smaller than the sum of its proper divisors (193292628480).

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

72481789440 is a wasteful number, since it uses less digits than its factorization.

72481789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33890 (or 33868 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 72481789440 in words is "seventy-two billion, four hundred eighty-one million, seven hundred eighty-nine thousand, four hundred forty".