164072727 has 36 divisors (see below), whose sum is σ = 296903880. Its totient is φ = 86540832.

The previous prime is 164072669. The next prime is 164072743. The reversal of 164072727 is 727270461.

It is a happy number.

164072727 is a `hidden beast` number, since 1 + 640 + 7 + 2 + 7 + 2 + 7 = 666.

It is not a de Polignac number, because 164072727 - 2⁶ = 164072663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164072691 and 164072700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164072767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8577 + ... + 20042.

It is an arithmetic number, because the mean of its divisors is an integer number (8247330).

Almost surely, 2^164072727 is an apocalyptic number.

164072727 is a deficient number, since it is larger than the sum of its proper divisors (132831153).

164072727 is a wasteful number, since it uses less digits than its factorization.

164072727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28652 (or 28642 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 164072727 is about 12809.0876724301. The cubic root of 164072727 is about 547.4512673207.

The spelling of 164072727 in words is "one hundred sixty-four million, seventy-two thousand, seven hundred twenty-seven".