172409328 has 240 divisors, whose sum is σ = 606627840. Its totient is φ = 44499456.

The previous prime is 172409327. The next prime is 172409329. The reversal of 172409328 is 823904271.

It is an interprime number because it is at equal distance from previous prime (172409327) and next prime (172409329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172409292 and 172409301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172409327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773025 + ... + 773247.

It is an arithmetic number, because the mean of its divisors is an integer number (2527616).

Almost surely, 2^172409328 is an apocalyptic number.

172409328 is a gapful number since it is divisible by the number (18) 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 172409328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303313920).

172409328 is an abundant number, since it is smaller than the sum of its proper divisors (434218512).

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

172409328 is a wasteful number, since it uses less digits than its factorization.

172409328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 172409328 is about 13130.4732587976. The cubic root of 172409328 is about 556.5705889539.

The spelling of 172409328 in words is "one hundred seventy-two million, four hundred nine thousand, three hundred twenty-eight".