172072165 has 16 divisors (see below), whose sum is σ = 213613056. Its totient is φ = 132926400.

The previous prime is 172072141. The next prime is 172072247. The reversal of 172072165 is 561270271.

It is not a de Polignac number, because 172072165 - 2⁵ = 172072133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94110 + ... + 95920.

It is an arithmetic number, because the mean of its divisors is an integer number (13350816).

Almost surely, 2^172072165 is an apocalyptic number.

It is an amenable number.

172072165 is a deficient number, since it is larger than the sum of its proper divisors (41540891).

172072165 is a wasteful number, since it uses less digits than its factorization.

172072165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 172072165 is about 13117.6280249137. The cubic root of 172072165 is about 556.2075431131.

It can be divided in two parts, 172072 and 165, that multiplied together give a triangular number (28391880 = T₇₅₃₅).

The spelling of 172072165 in words is "one hundred seventy-two million, seventy-two thousand, one hundred sixty-five".