392752 has 10 divisors (see below), whose sum is σ = 760988. Its totient is φ = 196368.

The previous prime is 392741. The next prime is 392759. The reversal of 392752 is 257293.

It is a d-powerful number, because it can be written as 3³ + 9³ + 7³ + 2² + 5⁸ + 2¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 392752.

It is not an unprimeable number, because it can be changed into a prime (392759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12258 + ... + 12289.

2³⁹²⁷⁵² is an apocalyptic number.

It is an amenable number.

392752 is a deficient number, since it is larger than the sum of its proper divisors (368236).

392752 is a wasteful number, since it uses less digits than its factorization.

392752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555 (or 24549 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 392752 is about 626.6992899310. The cubic root of 392752 is about 73.2328835902.

The spelling of 392752 in words is "three hundred ninety-two thousand, seven hundred fifty-two".