72320532480 has 840 divisors, whose sum is σ = 299121292512. Its totient is φ = 16434855936.

The previous prime is 72320532463. The next prime is 72320532481. The reversal of 72320532480 is 8423502327.

72320532480 is a `hidden beast` number, since 7 + 2 + 320 + 5 + 324 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72320532481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418037674 + ... + 418037846.

Almost surely, 2^72320532480 is an apocalyptic number.

72320532480 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 72320532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149560646256).

72320532480 is an abundant number, since it is smaller than the sum of its proper divisors (226800760032).

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

72320532480 is an frugal number, since it uses more digits than its factorization.

72320532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 72320532480 in words is "seventy-two billion, three hundred twenty million, five hundred thirty-two thousand, four hundred eighty".