32672556 has 72 divisors (see below), whose sum is σ = 94916640. Its totient is φ = 9282816.

The previous prime is 32672551. The next prime is 32672597. The reversal of 32672556 is 65527623.

It is a happy number.

32672556 is a `hidden beast` number, since 32 + 6 + 72 + 556 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32672556.

It is not an unprimeable number, because it can be changed into a prime (32672551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79680 + ... + 80088.

Almost surely, 2^32672556 is an apocalyptic number.

32672556 is a gapful number since it is divisible by the number (36) 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 32672556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47458320).

32672556 is an abundant number, since it is smaller than the sum of its proper divisors (62244084).

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

32672556 is a wasteful number, since it uses less digits than its factorization.

32672556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 32672556 is about 5715.9912526175. The cubic root of 32672556 is about 319.6890077557.

The spelling of 32672556 in words is "thirty-two million, six hundred seventy-two thousand, five hundred fifty-six".