6722257572 has 144 divisors (see below), whose sum is σ = 18352938240. Its totient is φ = 2067047424.

The previous prime is 6722257561. The next prime is 6722257583. The reversal of 6722257572 is 2757522276.

6722257572 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 2 + 575 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (6722257561) and next prime (6722257583).

It is a super-3 number, since 3×6722257572³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7880298 + ... + 7881150.

It is an arithmetic number, because the mean of its divisors is an integer number (127450960).

Almost surely, 2^6722257572 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 6722257572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176469120).

6722257572 is an abundant number, since it is smaller than the sum of its proper divisors (11630680668).

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

6722257572 is a wasteful number, since it uses less digits than its factorization.

6722257572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1117 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 6722257572 is about 81989.3747506346. The cubic root of 6722257572 is about 1887.2888885826.

The spelling of 6722257572 in words is "six billion, seven hundred twenty-two million, two hundred fifty-seven thousand, five hundred seventy-two".