7168467072 has 128 divisors (see below), whose sum is σ = 20942933760. Its totient is φ = 2158682112.

The previous prime is 7168467071. The next prime is 7168467083. The reversal of 7168467072 is 2707648617.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7168467071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219348 + ... + 249900.

It is an arithmetic number, because the mean of its divisors is an integer number (163616670).

Almost surely, 2^7168467072 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 7168467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10471466880).

7168467072 is an abundant number, since it is smaller than the sum of its proper divisors (13774466688).

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

7168467072 is a wasteful number, since it uses less digits than its factorization.

7168467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30630 (or 30618 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 7168467072 is about 84666.8002938578. The cubic root of 7168467072 is about 1928.1556895217.

The spelling of 7168467072 in words is "seven billion, one hundred sixty-eight million, four hundred sixty-seven thousand, seventy-two".