32720128 has 108 divisors (see below), whose sum is σ = 81187680. Its totient is φ = 12856320.

The previous prime is 32720123. The next prime is 32720197. The reversal of 32720128 is 82102723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32720123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055473 + ... + 1055503.

Almost surely, 2^32720128 is an apocalyptic number.

32720128 is a gapful number since it is divisible by the number (38) 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 32720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40593840).

32720128 is an abundant number, since it is smaller than the sum of its proper divisors (48467552).

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

32720128 is an equidigital number, since it uses as much as digits as its factorization.

32720128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 32720128 is about 5720.1510469567. The cubic root of 32720128 is about 319.8440907174.

It can be divided in two parts, 327 and 20128, that multiplied together give a palindrome (6581856).

The spelling of 32720128 in words is "thirty-two million, seven hundred twenty thousand, one hundred twenty-eight".