172057200 has 120 divisors (see below), whose sum is σ = 629923968. Its totient is φ = 39325440.

The previous prime is 172057199. The next prime is 172057201. The reversal of 172057200 is 2750271.

It is an interprime number because it is at equal distance from previous prime (172057199) and next prime (172057201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172057201) 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, 1842 + ... + 18641.

Almost surely, 2^172057200 is an apocalyptic number.

172057200 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 172057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314961984).

172057200 is an abundant number, since it is smaller than the sum of its proper divisors (457866768).

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

172057200 is a wasteful number, since it uses less digits than its factorization.

172057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20511 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 172057200 is about 13117.0575968851. The cubic root of 172057200 is about 556.1914183141.

The spelling of 172057200 in words is "one hundred seventy-two million, fifty-seven thousand, two hundred".