180360972 has 96 divisors (see below), whose sum is σ = 513891840. Its totient is φ = 54250560.

The previous prime is 180360919. The next prime is 180360989. The reversal of 180360972 is 279063081.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186033 + ... + 186999.

It is an arithmetic number, because the mean of its divisors is an integer number (5353040).

Almost surely, 2^180360972 is an apocalyptic number.

180360972 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 180360972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256945920).

180360972 is an abundant number, since it is smaller than the sum of its proper divisors (333530868).

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

180360972 is a wasteful number, since it uses less digits than its factorization.

180360972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 180360972 is about 13429.8537594421. The cubic root of 180360972 is about 564.9987960399.

The spelling of 180360972 in words is "one hundred eighty million, three hundred sixty thousand, nine hundred seventy-two".