72164468 has 12 divisors (see below), whose sum is σ = 126349860. Its totient is φ = 36064512.

The previous prime is 72164461. The next prime is 72164483. The reversal of 72164468 is 86446127.

It can be written as a sum of positive squares in 2 ways, for example, as 33500944 + 38663524 = 5788^2 + 6218^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164461) 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, 9830 + ... + 15522.

It is an arithmetic number, because the mean of its divisors is an integer number (10529155).

Almost surely, 2^72164468 is an apocalyptic number.

It is an amenable number.

72164468 is a deficient number, since it is larger than the sum of its proper divisors (54185392).

72164468 is a wasteful number, since it uses less digits than its factorization.

72164468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866 (or 8864 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 72164468 is about 8494.9672159462. The cubic root of 72164468 is about 416.3332896724. Note that the first 3 decimals are identical.

The spelling of 72164468 in words is "seventy-two million, one hundred sixty-four thousand, four hundred sixty-eight".