72108323632 has 80 divisors (see below), whose sum is σ = 157907750400. Its totient is φ = 31694423040.

The previous prime is 72108323579. The next prime is 72108323633. The reversal of 72108323632 is 23632380127.

It is a super-2 number, since 2×72108323632² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72108323591 and 72108323600.

It is not an unprimeable number, because it can be changed into a prime (72108323633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268669 + ... + 465187.

It is an arithmetic number, because the mean of its divisors is an integer number (1973846880).

Almost surely, 2^72108323632 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 72108323632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78953875200).

72108323632 is an abundant number, since it is smaller than the sum of its proper divisors (85799426768).

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

72108323632 is a wasteful number, since it uses less digits than its factorization.

72108323632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196634 (or 196628 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 72108323632 in words is "seventy-two billion, one hundred eight million, three hundred twenty-three thousand, six hundred thirty-two".