72314310000 has 200 divisors, whose sum is σ = 233742678400. Its totient is φ = 19258848000.

The previous prime is 72314309927. The next prime is 72314310083. The reversal of 72314310000 is 1341327.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×72314310000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41969139 + ... + 41970861.

It is an arithmetic number, because the mean of its divisors is an integer number (1168713392).

Almost surely, 2^72314310000 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 72314310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116871339200).

72314310000 is an abundant number, since it is smaller than the sum of its proper divisors (161428368400).

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

72314310000 is a wasteful number, since it uses less digits than its factorization.

72314310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 72314310000 its reverse (1341327), we get a palindrome (72315651327).

The spelling of 72314310000 in words is "seventy-two billion, three hundred fourteen million, three hundred ten thousand".