72006164 has 6 divisors (see below), whose sum is σ = 126010794. Its totient is φ = 36003080.

The previous prime is 72006157. The next prime is 72006191. The reversal of 72006164 is 46160027.

It can be written as a sum of positive squares in only one way, i.e., 53875600 + 18130564 = 7340^2 + 4258^2 .

It is a congruent number.

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 as a sum of consecutive naturals, namely, 9000767 + ... + 9000774.

It is an arithmetic number, because the mean of its divisors is an integer number (21001799).

Almost surely, 2^72006164 is an apocalyptic number.

It is an amenable number.

72006164 is a deficient number, since it is larger than the sum of its proper divisors (54004630).

72006164 is a wasteful number, since it uses less digits than its factorization.

72006164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18001545 (or 18001543 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 72006164 is about 8485.6445836483. The cubic root of 72006164 is about 416.0286361574.

The spelling of 72006164 in words is "seventy-two million, six thousand, one hundred sixty-four".