180634272 has 384 divisors, whose sum is σ = 650280960. Its totient is φ = 42577920.

The previous prime is 180634261. The next prime is 180634291. The reversal of 180634272 is 272436081.

180634272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5826897 + ... + 5826927.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^180634272 is an apocalyptic number.

180634272 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 180634272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

180634272 is an abundant number, since it is smaller than the sum of its proper divisors (469646688).

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

180634272 is a wasteful number, since it uses less digits than its factorization.

180634272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 180634272 is about 13440.0249999767. The cubic root of 180634272 is about 565.2840318840.

The spelling of 180634272 in words is "one hundred eighty million, six hundred thirty-four thousand, two hundred seventy-two".