72114311610 has 192 divisors, whose sum is σ = 222856064640. Its totient is φ = 16453693440.

The previous prime is 72114311561. The next prime is 72114311623. The reversal of 72114311610 is 1611341127.

72114311610 is a `hidden beast` number, since 7 + 2 + 1 + 1 + 43 + 1 + 1 + 610 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816322 + ... + 900338.

It is an arithmetic number, because the mean of its divisors is an integer number (1160708670).

Almost surely, 2^72114311610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72114311610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111428032320).

72114311610 is an abundant number, since it is smaller than the sum of its proper divisors (150741753030).

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

72114311610 is a wasteful number, since it uses less digits than its factorization.

72114311610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84078 (or 84055 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 72114311610 its reverse (1611341127), we get a palindrome (73725652737).

The spelling of 72114311610 in words is "seventy-two billion, one hundred fourteen million, three hundred eleven thousand, six hundred ten".