35272 has 8 divisors (see below), whose sum is σ = 66150. Its totient is φ = 17632.

The previous prime is 35267. The next prime is 35279. The reversal of 35272 is 27253.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 676 = 186^2 + 26^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×35272² = 2488227968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (35279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2197 + ... + 2212.

2³⁵²⁷² is an apocalyptic number.

It is an amenable number.

35272 is a deficient number, since it is larger than the sum of its proper divisors (30878).

35272 is a wasteful number, since it uses less digits than its factorization.

35272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4411 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 35272 is about 187.8084130171. The cubic root of 35272 is about 32.7951807316.

Subtracting from 35272 its sum of digits (19), we obtain a palindrome (35253).

It can be divided in two parts, 352 and 72, that added together give a palindrome (424).

The spelling of 35272 in words is "thirty-five thousand, two hundred seventy-two".