72962329200000 has 384 divisors, whose sum is σ = 242372872455840. Its totient is φ = 19446128640000.

The previous prime is 72962329199993. The next prime is 72962329200001. The reversal of 72962329200000 is 292326927.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72962329200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2367584592 + ... + 2367615408.

Almost surely, 2^{72962329200000} 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 72962329200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121186436227920).

72962329200000 is an abundant number, since it is smaller than the sum of its proper divisors (169410543255840).

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

72962329200000 is an equidigital number, since it uses as much as digits as its factorization.

72962329200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32832 (or 32800 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 72962329200000 in words is "seventy-two trillion, nine hundred sixty-two billion, three hundred twenty-nine million, two hundred thousand".