72087840000 has 1440 divisors, whose sum is σ = 305735633280. Its totient is φ = 16588800000.

The previous prime is 72087839951. The next prime is 72087840001. The reversal of 72087840000 is 4878027.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (72087840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1758239980 + ... + 1758240020.

It is an arithmetic number, because the mean of its divisors is an integer number (212316412).

Almost surely, 2^72087840000 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 72087840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152867816640).

72087840000 is an abundant number, since it is smaller than the sum of its proper divisors (233647793280).

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

72087840000 is a wasteful number, since it uses less digits than its factorization.

72087840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 72087840000 in words is "seventy-two billion, eighty-seven million, eight hundred forty thousand".