172064256 has 160 divisors (see below), whose sum is σ = 564630528. Its totient is φ = 45342720.

The previous prime is 172064203. The next prime is 172064261. The reversal of 172064256 is 652460271.

It is a super-2 number, since 2×172064256² = 59212216385667072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139161 + ... + 140391.

Almost surely, 2^172064256 is an apocalyptic number.

172064256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282315264).

172064256 is an abundant number, since it is smaller than the sum of its proper divisors (392566272).

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

172064256 is a wasteful number, since it uses less digits than its factorization.

172064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 172064256 is about 13117.3265568865. The cubic root of 172064256 is about 556.1990212760.

The spelling of 172064256 in words is "one hundred seventy-two million, sixty-four thousand, two hundred fifty-six".