390272 has 16 divisors (see below), whose sum is σ = 777750. Its totient is φ = 195072.

The previous prime is 390263. The next prime is 390281. The reversal of 390272 is 272093.

It is an interprime number because it is at equal distance from previous prime (390263) and next prime (390281).

It can be written as a sum of positive squares in only one way, i.e., 379456 + 10816 = 616^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

390272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1397 + ... + 1652.

2³⁹⁰²⁷² is an apocalyptic number.

390272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

390272 is a deficient number, since it is larger than the sum of its proper divisors (387478).

390272 is an equidigital number, since it uses as much as digits as its factorization.

390272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 390272 is about 624.7175361713. The cubic root of 390272 is about 73.0784170161.

The spelling of 390272 in words is "three hundred ninety thousand, two hundred seventy-two".