32712960 has 144 divisors (see below), whose sum is σ = 119500416. Its totient is φ = 7471104.

The previous prime is 32712931. The next prime is 32712961. The reversal of 32712960 is 6921723.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32712961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26272 + ... + 27488.

It is an arithmetic number, because the mean of its divisors is an integer number (829864).

Almost surely, 2^32712960 is an apocalyptic number.

32712960 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 32712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59750208).

32712960 is an abundant number, since it is smaller than the sum of its proper divisors (86787456).

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

32712960 is a wasteful number, since it uses less digits than its factorization.

32712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 32712960 is about 5719.5244557568. The cubic root of 32712960 is about 319.8207329249.

The spelling of 32712960 in words is "thirty-two million, seven hundred twelve thousand, nine hundred sixty".