172552320 has 192 divisors, whose sum is σ = 616987800. Its totient is φ = 44384256.

The previous prime is 172552307. The next prime is 172552321. The reversal of 172552320 is 23255271.

It can be written as a sum of positive squares in 4 ways, for example, as 168584256 + 3968064 = 12984^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (172552321) 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, 166524 + ... + 167556.

Almost surely, 2^172552320 is an apocalyptic number.

172552320 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 172552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308493900).

172552320 is an abundant number, since it is smaller than the sum of its proper divisors (444435480).

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

172552320 is a wasteful number, since it uses less digits than its factorization.

172552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 172552320 is about 13135.9171739167. The cubic root of 172552320 is about 556.7244150272.

It can be divided in two parts, 1725 and 52320, that added together give a palindrome (54045).

The spelling of 172552320 in words is "one hundred seventy-two million, five hundred fifty-two thousand, three hundred twenty".