72612343120 has 80 divisors (see below), whose sum is σ = 176325678720. Its totient is φ = 27780890112.

The previous prime is 72612343093. The next prime is 72612343127. The reversal of 72612343120 is 2134321627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×72612343120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72612343127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33252 + ... + 382531.

It is an arithmetic number, because the mean of its divisors is an integer number (2204070984).

Almost surely, 2^72612343120 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 72612343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88162839360).

72612343120 is an abundant number, since it is smaller than the sum of its proper divisors (103713335600).

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

72612343120 is a wasteful number, since it uses less digits than its factorization.

72612343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415892 (or 415886 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 72612343120 its reverse (2134321627), we get a palindrome (74746664747).

The spelling of 72612343120 in words is "seventy-two billion, six hundred twelve million, three hundred forty-three thousand, one hundred twenty".