392073 has 12 divisors (see below), whose sum is σ = 575568. Its totient is φ = 235440.

The previous prime is 392069. The next prime is 392087. The reversal of 392073 is 370293.

It is not a de Polignac number, because 392073 - 2² = 392069 is a prime.

392073 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 392073.

It is not an unprimeable number, because it can be changed into a prime (392033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3543 + ... + 3651.

It is an arithmetic number, because the mean of its divisors is an integer number (47964).

2³⁹²⁰⁷³ is an apocalyptic number.

392073 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

392073 is a deficient number, since it is larger than the sum of its proper divisors (183495).

392073 is a wasteful number, since it uses less digits than its factorization.

392073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 392073 is about 626.1573284726. The cubic root of 392073 is about 73.1906569341.

It can be divided in two parts, 3920 and 73, that added together give a palindrome (3993).

The spelling of 392073 in words is "three hundred ninety-two thousand, seventy-three".