72320567040 has 576 divisors, whose sum is σ = 275145292800. Its totient is φ = 17941118976.

The previous prime is 72320566991. The next prime is 72320567071. The reversal of 72320567040 is 4076502327.

It is a happy number.

72320567040 is a `hidden beast` number, since 72 + 3 + 20 + 567 + 0 + 4 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 72320566986 and 72320567004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29409331 + ... + 29411789.

It is an arithmetic number, because the mean of its divisors is an integer number (477682800).

Almost surely, 2^72320567040 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 72320567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137572646400).

72320567040 is an abundant number, since it is smaller than the sum of its proper divisors (202824725760).

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

72320567040 is a wasteful number, since it uses less digits than its factorization.

72320567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 72320567040 in words is "seventy-two billion, three hundred twenty million, five hundred sixty-seven thousand, forty".