172804320 has 384 divisors, whose sum is σ = 693463680. Its totient is φ = 39813120.

The previous prime is 172804309. The next prime is 172804339. The reversal of 172804320 is 23408271.

It is a super-2 number, since 2×172804320² = 59722666021324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954630 + ... + 954810.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^172804320 is an apocalyptic number.

172804320 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 172804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

172804320 is an abundant number, since it is smaller than the sum of its proper divisors (520659360).

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

172804320 is a wasteful number, since it uses less digits than its factorization.

172804320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 172804320 is about 13145.5056958643. The cubic root of 172804320 is about 556.9953015837.

It can be divided in two parts, 17280 and 4320, that multiplied together give a square (74649600 = 8640²).

The spelling of 172804320 in words is "one hundred seventy-two million, eight hundred four thousand, three hundred twenty".