35672 has 32 divisors (see below), whose sum is σ = 84000. Its totient is φ = 14112.

The previous prime is 35671. The next prime is 35677. The reversal of 35672 is 27653.

35672 is nontrivially palindromic in base 9.

It is a plaindrome in base 11.

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2738 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (2625).

2³⁵⁶⁷² 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 35672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42000).

35672 is an abundant number, since it is smaller than the sum of its proper divisors (48328).

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

35672 is a wasteful number, since it uses less digits than its factorization.

35672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 22 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 35672 is about 188.8703258852. The cubic root of 35672 is about 32.9186856281.

It can be divided in two parts, 35 and 672, that added together give a palindrome (707).

The spelling of 35672 in words is "thirty-five thousand, six hundred seventy-two".