172126656 has 168 divisors, whose sum is σ = 538463744. Its totient is φ = 52254720.

The previous prime is 172126639. The next prime is 172126657. The reversal of 172126656 is 656621271.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 172126656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172126657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950886 + ... + 951066.

Almost surely, 2^172126656 is an apocalyptic number.

172126656 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 172126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269231872).

172126656 is an abundant number, since it is smaller than the sum of its proper divisors (366337088).

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

172126656 is a wasteful number, since it uses less digits than its factorization.

172126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 172126656 is about 13119.7048747295. The cubic root of 172126656 is about 556.2662493086.

The spelling of 172126656 in words is "one hundred seventy-two million, one hundred twenty-six thousand, six hundred fifty-six".