172561600 has 84 divisors (see below), whose sum is σ = 439369200. Its totient is φ = 66626560.

The previous prime is 172561589. The next prime is 172561603. The reversal of 172561600 is 6165271.

It is not an unprimeable number, because it can be changed into a prime (172561603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44541 + ... + 48259.

Almost surely, 2^172561600 is an apocalyptic number.

172561600 is a gapful number since it is divisible by the number (10) 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 172561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219684600).

172561600 is an abundant number, since it is smaller than the sum of its proper divisors (266807600).

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

172561600 is a wasteful number, since it uses less digits than its factorization.

172561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 172561600 is about 13136.2703991658. The cubic root of 172561600 is about 556.7343952079.

The spelling of 172561600 in words is "one hundred seventy-two million, five hundred sixty-one thousand, six hundred".