35372 has 12 divisors (see below), whose sum is σ = 63840. Its totient is φ = 17136.

The previous prime is 35363. The next prime is 35381. The reversal of 35372 is 27353.

It is an interprime number because it is at equal distance from previous prime (35363) and next prime (35381).

It is a d-powerful number, because it can be written as 3⁵ + 5³ + 3⁷ + 7² + 2¹⁵ .

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2³⁵³⁷² is an apocalyptic number.

It is an amenable number.

35372 is a deficient number, since it is larger than the sum of its proper divisors (28468).

35372 is a wasteful number, since it uses less digits than its factorization.

35372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its digits is 630, while the sum is 20.

The square root of 35372 is about 188.0744533423. The cubic root of 35372 is about 32.8261441367.

The spelling of 35372 in words is "thirty-five thousand, three hundred seventy-two".