35472 has 20 divisors (see below), whose sum is σ = 91760. Its totient is φ = 11808.

The previous prime is 35461. The next prime is 35491. The reversal of 35472 is 27453.

It is a happy 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 3 ways as a sum of consecutive naturals, for example, 322 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (4588).

2³⁵⁴⁷² is an apocalyptic number.

It is an amenable number.

35472 is an abundant number, since it is smaller than the sum of its proper divisors (56288).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45880).

35472 is a wasteful number, since it uses less digits than its factorization.

35472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 35472 is about 188.3401178719. The cubic root of 35472 is about 32.8570492391.

The spelling of 35472 in words is "thirty-five thousand, four hundred seventy-two".