792372672 has 224 divisors, whose sum is σ = 2867558400. Its totient is φ = 208935936.

The previous prime is 792372667. The next prime is 792372689. The reversal of 792372672 is 276273297.

792372672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154729 + ... + 159767.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 2^792372672 is an apocalyptic number.

792372672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433779200).

792372672 is an abundant number, since it is smaller than the sum of its proper divisors (2075185728).

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

792372672 is a wasteful number, since it uses less digits than its factorization.

792372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5064 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 792372672 is about 28149.1149416816. The cubic root of 792372672 is about 925.3580973384.

The spelling of 792372672 in words is "seven hundred ninety-two million, three hundred seventy-two thousand, six hundred seventy-two".