180123372 has 192 divisors, whose sum is σ = 558835200. Its totient is φ = 49455360.

The previous prime is 180123371. The next prime is 180123407. The reversal of 180123372 is 273321081.

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 (180123371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652454 + ... + 1652562.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^180123372 is an apocalyptic number.

180123372 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 180123372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

180123372 is an abundant number, since it is smaller than the sum of its proper divisors (378711828).

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

180123372 is a wasteful number, since it uses less digits than its factorization.

180123372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 180123372 is about 13421.0048804104. The cubic root of 180123372 is about 564.7505850871.

The spelling of 180123372 in words is "one hundred eighty million, one hundred twenty-three thousand, three hundred seventy-two".