72193410000 has 400 divisors, whose sum is σ = 264500332800. Its totient is φ = 18838656000.

The previous prime is 72193409971. The next prime is 72193410011. The reversal of 72193410000 is 1439127.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12687156 + ... + 12692844.

It is an arithmetic number, because the mean of its divisors is an integer number (661250832).

Almost surely, 2^72193410000 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 72193410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132250166400).

72193410000 is an abundant number, since it is smaller than the sum of its proper divisors (192306922800).

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

72193410000 is a wasteful number, since it uses less digits than its factorization.

72193410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 72193410000 its reverse (1439127), we get a palindrome (72194849127).

The spelling of 72193410000 in words is "seventy-two billion, one hundred ninety-three million, four hundred ten thousand".