35672320 has 108 divisors (see below), whose sum is σ = 91336140. Its totient is φ = 13332480.

The previous prime is 35672311. The next prime is 35672347. The reversal of 35672320 is 2327653.

It can be written as a sum of positive squares in 2 ways, for example, as 15745024 + 19927296 = 3968^2 + 4464^2 .

It is a super-3 number, since 3×35672320³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150705 + ... + 1150735.

It is an arithmetic number, because the mean of its divisors is an integer number (845705).

Almost surely, 2^35672320 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 35672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45668070).

35672320 is an abundant number, since it is smaller than the sum of its proper divisors (55663820).

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

35672320 is an equidigital number, since it uses as much as digits as its factorization.

35672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 35672320 is about 5972.6309110810. The cubic root of 35672320 is about 329.1878406148.

Adding to 35672320 its reverse (2327653), we get a palindrome (37999973).

The spelling of 35672320 in words is "thirty-five million, six hundred seventy-two thousand, three hundred twenty".