72320832 has 168 divisors, whose sum is σ = 222528384. Its totient is φ = 22404096.

The previous prime is 72320819. The next prime is 72320849. The reversal of 72320832 is 23802327.

It is a junction number, because it is equal to n+sod(n) for n = 72320796 and 72320805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702093 + ... + 702195.

Almost surely, 2^72320832 is an apocalyptic number.

72320832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111264192).

72320832 is an abundant number, since it is smaller than the sum of its proper divisors (150207552).

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

72320832 is a wasteful number, since it uses less digits than its factorization.

72320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72320832 is about 8504.1655675322. The cubic root of 72320832 is about 416.6337726210.

The spelling of 72320832 in words is "seventy-two million, three hundred twenty thousand, eight hundred thirty-two".