72110434000 has 240 divisors, whose sum is σ = 201755211840. Its totient is φ = 24840288000.

The previous prime is 72110433919. The next prime is 72110434007. The reversal of 72110434000 is 43401127.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72110434007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4590159 + ... + 4605841.

It is an arithmetic number, because the mean of its divisors is an integer number (840646716).

Almost surely, 2^72110434000 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 72110434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100877605920).

72110434000 is an abundant number, since it is smaller than the sum of its proper divisors (129644777840).

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

72110434000 is a wasteful number, since it uses less digits than its factorization.

72110434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15747 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 72110434000 its reverse (43401127), we get a palindrome (72153835127).

The spelling of 72110434000 in words is "seventy-two billion, one hundred ten million, four hundred thirty-four thousand".