172152864 has 216 divisors, whose sum is σ = 553945392. Its totient is φ = 52565760.

The previous prime is 172152859. The next prime is 172152887. The reversal of 172152864 is 468251271.

172152864 is a `hidden beast` number, since 1 + 72 + 1 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314079 + ... + 1314209.

It is an arithmetic number, because the mean of its divisors is an integer number (2564562).

Almost surely, 2^172152864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276972696).

172152864 is an abundant number, since it is smaller than the sum of its proper divisors (381792528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172152864 is a wasteful number, since it uses less digits than its factorization.

172152864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 172152864 is about 13120.7036396681. The cubic root of 172152864 is about 556.2944802372.

The spelling of 172152864 in words is "one hundred seventy-two million, one hundred fifty-two thousand, eight hundred sixty-four".