72317483521920 has 576 divisors, whose sum is σ = 309038066532000. Its totient is φ = 15258192887808.

The previous prime is 72317483521919. The next prime is 72317483521937. The reversal of 72317483521920 is 2912538471327.

72317483521920 is a `hidden beast` number, since 7 + 2 + 3 + 17 + 4 + 83 + 521 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1507606 + ... + 12120554.

Almost surely, 2^{72317483521920} is an apocalyptic number.

72317483521920 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 72317483521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154519033266000).

72317483521920 is an abundant number, since it is smaller than the sum of its proper divisors (236720583010080).

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

72317483521920 is a wasteful number, since it uses less digits than its factorization.

72317483521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613007 (or 10612979 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72317483521920 in words is "seventy-two trillion, three hundred seventeen billion, four hundred eighty-three million, five hundred twenty-one thousand, nine hundred twenty".