72717372000 has 1536 divisors, whose sum is σ = 334623744000. Its totient is φ = 15240960000.

The previous prime is 72717371989. The next prime is 72717372031. The reversal of 72717372000 is 27371727.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 481571925 + ... + 481572075.

It is an arithmetic number, because the mean of its divisors is an integer number (217854000).

Almost surely, 2^72717372000 is an apocalyptic number.

72717372000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72717372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872000).

72717372000 is an abundant number, since it is smaller than the sum of its proper divisors (261906372000).

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

72717372000 is a wasteful number, since it uses less digits than its factorization.

72717372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 72717372000 in words is "seventy-two billion, seven hundred seventeen million, three hundred seventy-two thousand".