792252 has 36 divisors (see below), whose sum is σ = 2042040. Its totient is φ = 258912.

The previous prime is 792247. The next prime is 792257. The reversal of 792252 is 252297.

It is a happy number.

792252 is nontrivially palindromic in base 5.

792252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (792247) and next prime (792257).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792257) by changing a digit.

792252 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 11 ways as a sum of consecutive naturals, for example, 1938 + ... + 2310.

2⁷⁹²²⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021020).

792252 is an abundant number, since it is smaller than the sum of its proper divisors (1249788).

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

792252 is a wasteful number, since it uses less digits than its factorization.

792252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 792252 is about 890.0853891622. The cubic root of 792252 is about 92.5311120083.

The spelling of 792252 in words is "seven hundred ninety-two thousand, two hundred fifty-two".