35072 has 18 divisors (see below), whose sum is σ = 70518. Its totient is φ = 17408.

The previous prime is 35069. The next prime is 35081. The reversal of 35072 is 27053.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 4096 = 176^2 + 64^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 35072.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 188 + ... + 324.

2³⁵⁰⁷² is an apocalyptic number.

35072 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 35072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35259).

35072 is an abundant number, since it is smaller than the sum of its proper divisors (35446).

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

35072 is an equidigital number, since it uses as much as digits as its factorization.

35072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 35072 is about 187.2751985715. The cubic root of 35072 is about 32.7330779077.

It can be divided in two parts, 350 and 72, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 35072 in words is "thirty-five thousand, seventy-two".