72449067391200 has 216 divisors, whose sum is σ = 255495471993216. Its totient is φ = 19318091520000.

The previous prime is 72449067391177. The next prime is 72449067391201. The reversal of 72449067391200 is 219376094427.

72449067391200 is a `hidden beast` number, since 7 + 2 + 4 + 49 + 0 + 6 + 7 + 391 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72449067391201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84540865 + ... + 85393535.

It is an arithmetic number, because the mean of its divisors is an integer number (1182849407376).

Almost surely, 2^{72449067391200} 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 72449067391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127747735996608).

72449067391200 is an abundant number, since it is smaller than the sum of its proper divisors (183046404602016).

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

72449067391200 is a wasteful number, since it uses less digits than its factorization.

72449067391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864498 (or 864482 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 72449067391200 in words is "seventy-two trillion, four hundred forty-nine billion, sixty-seven million, three hundred ninety-one thousand, two hundred".