72365490720 has 480 divisors, whose sum is σ = 261343272960. Its totient is φ = 18852341760.

The previous prime is 72365490713. The next prime is 72365490731. The reversal of 72365490720 is 2709456327.

72365490720 is a `hidden beast` number, since 7 + 2 + 36 + 549 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×72365490720² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 188943649 + ... + 188944031.

It is an arithmetic number, because the mean of its divisors is an integer number (544465152).

Almost surely, 2^72365490720 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 72365490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130671636480).

72365490720 is an abundant number, since it is smaller than the sum of its proper divisors (188977782240).

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

72365490720 is a wasteful number, since it uses less digits than its factorization.

72365490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 72365490720 in words is "seventy-two billion, three hundred sixty-five million, four hundred ninety thousand, seven hundred twenty".