180472320 has 320 divisors, whose sum is σ = 734595840. Its totient is φ = 41140224.

The previous prime is 180472319. The next prime is 180472321. The reversal of 180472320 is 23274081.

It is an interprime number because it is at equal distance from previous prime (180472319) and next prime (180472321).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (180472321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483654 + ... + 484026.

It is an arithmetic number, because the mean of its divisors is an integer number (2295612).

Almost surely, 2^180472320 is an apocalyptic number.

180472320 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 180472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367297920).

180472320 is an abundant number, since it is smaller than the sum of its proper divisors (554123520).

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

180472320 is an equidigital number, since it uses as much as digits as its factorization.

180472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

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

The square root of 180472320 is about 13433.9986601161. The cubic root of 180472320 is about 565.1150417060.

The spelling of 180472320 in words is "one hundred eighty million, four hundred seventy-two thousand, three hundred twenty".