32652672 has 128 divisors (see below), whose sum is σ = 96875520. Its totient is φ = 9676800.

The previous prime is 32652661. The next prime is 32652673. The reversal of 32652672 is 27625623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32652673) 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, 154647 + ... + 154857.

It is an arithmetic number, because the mean of its divisors is an integer number (756840).

Almost surely, 2^32652672 is an apocalyptic number.

32652672 is a gapful number since it is divisible by the number (32) 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 32652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48437760).

32652672 is an abundant number, since it is smaller than the sum of its proper divisors (64222848).

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

32652672 is a wasteful number, since it uses less digits than its factorization.

32652672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 32652672 is about 5714.2516570414. The cubic root of 32652672 is about 319.6241420399.

The spelling of 32652672 in words is "thirty-two million, six hundred fifty-two thousand, six hundred seventy-two".