32772096 has 156 divisors (see below), whose sum is σ = 109038592. Its totient is φ = 9289728.

The previous prime is 32772043. The next prime is 32772101. The reversal of 32772096 is 69027723.

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 32772096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257985 + ... + 258111.

Almost surely, 2^32772096 is an apocalyptic number.

32772096 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 32772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54519296).

32772096 is an abundant number, since it is smaller than the sum of its proper divisors (76266496).

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

32772096 is a wasteful number, since it uses less digits than its factorization.

32772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 32772096 is about 5724.6917820962. The cubic root of 32772096 is about 320.0133327778.

The spelling of 32772096 in words is "thirty-two million, seven hundred seventy-two thousand, ninety-six".