72110564 has 12 divisors (see below), whose sum is σ = 126496188. Its totient is φ = 35968800.

The previous prime is 72110537. The next prime is 72110569. The reversal of 72110564 is 46501127.

It can be written as a sum of positive squares in 2 ways, for example, as 1416100 + 70694464 = 1190^2 + 8408^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72110569) 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 3 ways as a sum of consecutive naturals, for example, 19727 + ... + 23094.

It is an arithmetic number, because the mean of its divisors is an integer number (10541349).

Almost surely, 2^72110564 is an apocalyptic number.

It is an amenable number.

72110564 is a deficient number, since it is larger than the sum of its proper divisors (54385624).

72110564 is a wasteful number, since it uses less digits than its factorization.

72110564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43246 (or 43244 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 72110564 is about 8491.7939211924. The cubic root of 72110564 is about 416.2296023576.

The spelling of 72110564 in words is "seventy-two million, one hundred ten thousand, five hundred sixty-four".