2172564072 has 128 divisors (see below), whose sum is σ = 7119667200. Its totient is φ = 600696000.

The previous prime is 2172564067. The next prime is 2172564089. The reversal of 2172564072 is 2704652712.

It is a happy number.

2172564072 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 5 + 640 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23697 + ... + 70047.

It is an arithmetic number, because the mean of its divisors is an integer number (55622400).

Almost surely, 2^2172564072 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 2172564072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559833600).

2172564072 is an abundant number, since it is smaller than the sum of its proper divisors (4947103128).

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

2172564072 is a wasteful number, since it uses less digits than its factorization.

2172564072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46404 (or 46394 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2172564072 is about 46610.7720596859. The cubic root of 2172564072 is about 1295.1623101717.

The spelling of 2172564072 in words is "two billion, one hundred seventy-two million, five hundred sixty-four thousand, seventy-two".