32776672 has 96 divisors (see below), whose sum is σ = 73543680. Its totient is φ = 14307840.

The previous prime is 32776661. The next prime is 32776673. The reversal of 32776672 is 27667723.

It is a happy number.

Its product of digits (148176) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32776673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 697353 + ... + 697399.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^32776672 is an apocalyptic number.

32776672 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 32776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771840).

32776672 is an abundant number, since it is smaller than the sum of its proper divisors (40767008).

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

32776672 is a wasteful number, since it uses less digits than its factorization.

32776672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 148176, while the sum is 40.

The square root of 32776672 is about 5725.0914403178. The cubic root of 32776672 is about 320.0282266768.

The spelling of 32776672 in words is "thirty-two million, seven hundred seventy-six thousand, six hundred seventy-two".