32718672 has 90 divisors (see below), whose sum is σ = 106539498. Its totient is φ = 9346176.

The previous prime is 32718667. The next prime is 32718677. The reversal of 32718672 is 27681723.

It is an interprime number because it is at equal distance from previous prime (32718667) and next prime (32718677).

It can be written as a sum of positive squares in only one way, i.e., 24561936 + 8156736 = 4956^2 + 2856^2 .

It is a super-2 number, since 2×32718672² = 2141022994887168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32718677) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4738 + ... + 9374.

Almost surely, 2^32718672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32718672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53269749).

32718672 is an abundant number, since it is smaller than the sum of its proper divisors (73820826).

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

32718672 is a wasteful number, since it uses less digits than its factorization.

32718672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4649 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 32718672 is about 5720.0237761744. The cubic root of 32718672 is about 319.8393464419.

The spelling of 32718672 in words is "thirty-two million, seven hundred eighteen thousand, six hundred seventy-two".