792132 has 48 divisors (see below), whose sum is σ = 2140992. Its totient is φ = 225280.

The previous prime is 792131. The next prime is 792151. The reversal of 792132 is 231297.

It is not an unprimeable number, because it can be changed into a prime (792131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2068 + ... + 2420.

It is an arithmetic number, because the mean of its divisors is an integer number (44604).

2⁷⁹²¹³² 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 792132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070496).

792132 is an abundant number, since it is smaller than the sum of its proper divisors (1348860).

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

792132 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 792132 = (219723)₁₃.

792132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 792132 is about 890.0179773465. The cubic root of 792132 is about 92.5264399704.

It can be divided in two parts, 79 and 2132, that added together give a triangular number (2211 = T₆₆).

The spelling of 792132 in words is "seven hundred ninety-two thousand, one hundred thirty-two".