72482217984000 has 2176 divisors, whose sum is σ = 302132538040320. Its totient is φ = 17004625920000.

The previous prime is 72482217983993. The next prime is 72482217984037. The reversal of 72482217984000 is 48971228427.

72482217984000 is a `hidden beast` number, since 7 + 2 + 4 + 8 + 221 + 7 + 9 + 8 + 400 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2338136063985 + ... + 2338136064015.

Almost surely, 2^{72482217984000} 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 72482217984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151066269020160).

72482217984000 is an abundant number, since it is smaller than the sum of its proper divisors (229650320056320).

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

72482217984000 is an frugal number, since it uses more digits than its factorization.

72482217984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 52 counting only the distinct ones).

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

The spelling of 72482217984000 in words is "seventy-two trillion, four hundred eighty-two billion, two hundred seventeen million, nine hundred eighty-four thousand".