72189160 has 32 divisors (see below), whose sum is σ = 162835200. Its totient is φ = 28802880.

The previous prime is 72189121. The next prime is 72189193. The reversal of 72189160 is 6198127.

It is a happy number.

It is a super-2 number, since 2×72189160² = 10422549643011200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15505 + ... + 19615.

It is an arithmetic number, because the mean of its divisors is an integer number (5088600).

Almost surely, 2^72189160 is an apocalyptic number.

It is an amenable number.

72189160 is an abundant number, since it is smaller than the sum of its proper divisors (90646040).

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

72189160 is a wasteful number, since it uses less digits than its factorization.

72189160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 72189160 is about 8496.4204227427. The cubic root of 72189160 is about 416.3807688525.

The spelling of 72189160 in words is "seventy-two million, one hundred eighty-nine thousand, one hundred sixty".