72324131334 has 64 divisors (see below), whose sum is σ = 178369734144. Its totient is φ = 19037949696.

The previous prime is 72324131333. The next prime is 72324131359. The reversal of 72324131334 is 43313142327.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72324131295 and 72324131304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72324131333) 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 31 ways as a sum of consecutive naturals, for example, 158922 + ... + 412194.

It is an arithmetic number, because the mean of its divisors is an integer number (2787027096).

Almost surely, 2^72324131334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72324131334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89184867072).

72324131334 is an abundant number, since it is smaller than the sum of its proper divisors (106045602810).

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

72324131334 is a wasteful number, since it uses less digits than its factorization.

72324131334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253821.

The product of its digits is 36288, while the sum is 33.

The spelling of 72324131334 in words is "seventy-two billion, three hundred twenty-four million, one hundred thirty-one thousand, three hundred thirty-four".