390072 has 16 divisors (see below), whose sum is σ = 975240. Its totient is φ = 130016.

The previous prime is 390067. The next prime is 390077. The reversal of 390072 is 270093.

It is an interprime number because it is at equal distance from previous prime (390067) and next prime (390077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390077) by changing a digit.

390072 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 in 3 ways as a sum of consecutive naturals, for example, 8103 + ... + 8150.

2³⁹⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

390072 is an abundant number, since it is smaller than the sum of its proper divisors (585168).

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

390072 is a wasteful number, since it uses less digits than its factorization.

390072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16262 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 390072 is about 624.5574433149. The cubic root of 390072 is about 73.0659315523.

Adding to 390072 its sum of digits (21), we get a palindrome (390093).

The spelling of 390072 in words is "three hundred ninety thousand, seventy-two".