32872320000 has 660 divisors, whose sum is σ = 128024456560. Its totient is φ = 8073216000.

The previous prime is 32872319983. The next prime is 32872320017. The reversal of 32872320000 is 2327823.

It is an interprime number because it is at equal distance from previous prime (32872319983) and next prime (32872320017).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 74879781 + ... + 74880219.

Almost surely, 2^32872320000 is an apocalyptic number.

32872320000 is a gapful number since it is divisible by the number (30) 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 32872320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012228280).

32872320000 is an abundant number, since it is smaller than the sum of its proper divisors (95152136560).

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

32872320000 is a wasteful number, since it uses less digits than its factorization.

32872320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 462 counting only the distinct ones).

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

Adding to 32872320000 its reverse (2327823), we get a palindrome (32874647823).

The spelling of 32872320000 in words is "thirty-two billion, eight hundred seventy-two million, three hundred twenty thousand".