180291672 has 96 divisors (see below), whose sum is σ = 535513680. Its totient is φ = 54343680.

The previous prime is 180291623. The next prime is 180291673. The reversal of 180291672 is 276192081.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180291673) 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 23 ways as a sum of consecutive naturals, for example, 184048 + ... + 185024.

Almost surely, 2^180291672 is an apocalyptic number.

180291672 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 180291672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267756840).

180291672 is an abundant number, since it is smaller than the sum of its proper divisors (355222008).

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

180291672 is a wasteful number, since it uses less digits than its factorization.

180291672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 180291672 is about 13427.2734387887. The cubic root of 180291672 is about 564.9264237080.

It can be divided in two parts, 18029 and 1672, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 180291672 in words is "one hundred eighty million, two hundred ninety-one thousand, six hundred seventy-two".