172457216 has 54 divisors (see below), whose sum is σ = 356210946. Its totient is φ = 83328000.

The previous prime is 172457213. The next prime is 172457221. The reversal of 172457216 is 612754271.

It can be written as a sum of positive squares in only one way, i.e., 166306816 + 6150400 = 12896^2 + 2480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172457213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245666 + ... + 246366.

It is an arithmetic number, because the mean of its divisors is an integer number (6596499).

Almost surely, 2^172457216 is an apocalyptic number.

172457216 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 172457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178105473).

172457216 is an abundant number, since it is smaller than the sum of its proper divisors (183753730).

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

172457216 is an frugal number, since it uses more digits than its factorization.

172457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 734 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 172457216 is about 13132.2966765147. The cubic root of 172457216 is about 556.6221147527.

The spelling of 172457216 in words is "one hundred seventy-two million, four hundred fifty-seven thousand, two hundred sixteen".