792672 has 48 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 252032.

The previous prime is 792667. The next prime is 792679. The reversal of 792672 is 276297.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792679) by changing a digit.

792672 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 7 ways as a sum of consecutive naturals, for example, 2029 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁷⁹²⁶⁷² 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 792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

792672 is an abundant number, since it is smaller than the sum of its proper divisors (1384608).

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

792672 is a wasteful number, since it uses less digits than its factorization.

792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 792672 is about 890.3212903216. The cubic root of 792672 is about 92.5474604266.

The spelling of 792672 in words is "seven hundred ninety-two thousand, six hundred seventy-two".