72783360000 has 1040 divisors, whose sum is σ = 293758092320. Its totient is φ = 17915904000.

The previous prime is 72783359939. The next prime is 72783360007. The reversal of 72783360000 is 6338727.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-3 number, since 3×72783360000³ (a number of 34 digits) contains 333 as substring.

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 (72783360007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5598719994 + ... + 5598720006.

Almost surely, 2^72783360000 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 72783360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146879046160).

72783360000 is an abundant number, since it is smaller than the sum of its proper divisors (220974732320).

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

72783360000 is an frugal number, since it uses more digits than its factorization.

72783360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 72783360000 its reverse (6338727), we get a palindrome (72789698727).

The spelling of 72783360000 in words is "seventy-two billion, seven hundred eighty-three million, three hundred sixty thousand".