791667072 has 192 divisors, whose sum is σ = 2741107200. Its totient is φ = 214244352.

The previous prime is 791667049. The next prime is 791667103. The reversal of 791667072 is 270766197.

791667072 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150633 + ... + 155799.

It is an arithmetic number, because the mean of its divisors is an integer number (14276600).

Almost surely, 2^791667072 is an apocalyptic number.

791667072 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 791667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370553600).

791667072 is an abundant number, since it is smaller than the sum of its proper divisors (1949440128).

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

791667072 is a wasteful number, since it uses less digits than its factorization.

791667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 791667072 is about 28136.5788965183. The cubic root of 791667072 is about 925.0833416994.

The spelling of 791667072 in words is "seven hundred ninety-one million, six hundred sixty-seven thousand, seventy-two".