7172634672 has 320 divisors, whose sum is σ = 25572966400. Its totient is φ = 1878370560.

The previous prime is 7172634671. The next prime is 7172634697. The reversal of 7172634672 is 2764362717.

7172634672 is a `hidden beast` number, since 7 + 1 + 7 + 2 + 634 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7172634671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779123 + ... + 1783149.

It is an arithmetic number, because the mean of its divisors is an integer number (79915520).

Almost surely, 2^7172634672 is an apocalyptic number.

7172634672 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 7172634672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786483200).

7172634672 is an abundant number, since it is smaller than the sum of its proper divisors (18400331728).

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

7172634672 is a wasteful number, since it uses less digits than its factorization.

7172634672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4089 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 7172634672 is about 84691.4084898817. The cubic root of 7172634672 is about 1928.5292805463.

The spelling of 7172634672 in words is "seven billion, one hundred seventy-two million, six hundred thirty-four thousand, six hundred seventy-two".