35712 has 48 divisors (see below), whose sum is σ = 106080. Its totient is φ = 11520.

The previous prime is 35677. The next prime is 35729. The reversal of 35712 is 21753.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

35712 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1137 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (2210).

2³⁵⁷¹² is an apocalyptic number.

35712 is a gapful number since it is divisible by the number (32) 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 35712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53040).

35712 is an abundant number, since it is smaller than the sum of its proper divisors (70368).

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

35712 is a wasteful number, since it uses less digits than its factorization.

35712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 36 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 35712 is about 188.9761889763. The cubic root of 35712 is about 32.9309852428.

It can be divided in two parts, 35 and 712, that added together give a palindrome (747).

The spelling of 35712 in words is "thirty-five thousand, seven hundred twelve".