32076672 has 64 divisors (see below), whose sum is σ = 86136960. Its totient is φ = 10575360.

The previous prime is 32076659. The next prime is 32076673. The reversal of 32076672 is 27667023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32076673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39147 + ... + 39957.

It is an arithmetic number, because the mean of its divisors is an integer number (1345890).

Almost surely, 2^32076672 is an apocalyptic number.

32076672 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 32076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068480).

32076672 is an abundant number, since it is smaller than the sum of its proper divisors (54060288).

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

32076672 is a wasteful number, since it uses less digits than its factorization.

32076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 32076672 is about 5663.6271063692. The cubic root of 32076672 is about 317.7335690135.

It can be divided in two parts, 3 and 2076672, that multiplied together give a square (6230016 = 2496²).

The spelling of 32076672 in words is "thirty-two million, seventy-six thousand, six hundred seventy-two".