180472752 has 80 divisors (see below), whose sum is σ = 522749280. Its totient is φ = 59609088.

The previous prime is 180472751. The next prime is 180472769. The reversal of 180472752 is 257274081.

180472752 is a `hidden beast` number, since 180 + 472 + 7 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (180472751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46968 + ... + 50664.

It is an arithmetic number, because the mean of its divisors is an integer number (6534366).

Almost surely, 2^180472752 is an apocalyptic number.

180472752 is a gapful number since it is divisible by the number (12) 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 180472752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261374640).

180472752 is an abundant number, since it is smaller than the sum of its proper divisors (342276528).

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

180472752 is a wasteful number, since it uses less digits than its factorization.

180472752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 180472752 is about 13434.0147387146. The cubic root of 180472752 is about 565.1154926145.

The spelling of 180472752 in words is "one hundred eighty million, four hundred seventy-two thousand, seven hundred fifty-two".