792675072 has 360 divisors, whose sum is σ = 2785857536. Its totient is φ = 219469824.

The previous prime is 792675047. The next prime is 792675077. The reversal of 792675072 is 270576297.

It is not an unprimeable number, because it can be changed into a prime (792675077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6241473 + ... + 6241599.

Almost surely, 2^792675072 is an apocalyptic number.

792675072 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 792675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392928768).

792675072 is an abundant number, since it is smaller than the sum of its proper divisors (1993182464).

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

792675072 is a wasteful number, since it uses less digits than its factorization.

792675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 792675072 is about 28154.4858237546. The cubic root of 792675072 is about 925.4757998238.

The spelling of 792675072 in words is "seven hundred ninety-two million, six hundred seventy-five thousand, seventy-two".