72395350272000 has 3456 divisors, whose sum is σ = 326781328648320. Its totient is φ = 15314426265600.

The previous prime is 72395350271963. The next prime is 72395350272001. The reversal of 72395350272000 is 27205359327.

72395350272000 is a `hidden beast` number, since 7 + 2 + 3 + 95 + 350 + 2 + 7 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72395350272001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128588543719 + ... + 128588544281.

It is an arithmetic number, because the mean of its divisors is an integer number (94554782595).

Almost surely, 2^{72395350272000} is an apocalyptic number.

72395350272000 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 72395350272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163390664324160).

72395350272000 is an abundant number, since it is smaller than the sum of its proper divisors (254385978376320).

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

72395350272000 is a wasteful number, since it uses less digits than its factorization.

72395350272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 72395350272000 in words is "seventy-two trillion, three hundred ninety-five billion, three hundred fifty million, two hundred seventy-two thousand".