72101016000 has 896 divisors, whose sum is σ = 289305918720. Its totient is φ = 17691955200.

The previous prime is 72101015953. The next prime is 72101016017. The reversal of 72101016000 is 61010127.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227447842 + ... + 227448158.

It is an arithmetic number, because the mean of its divisors is an integer number (322886070).

Almost surely, 2^72101016000 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 72101016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144652959360).

72101016000 is an abundant number, since it is smaller than the sum of its proper divisors (217204902720).

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

72101016000 is an equidigital number, since it uses as much as digits as its factorization.

72101016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 72101016000 its reverse (61010127), we get a palindrome (72162026127).

The spelling of 72101016000 in words is "seventy-two billion, one hundred one million, sixteen thousand".