180790272 has 176 divisors, whose sum is σ = 577745280. Its totient is φ = 55517184.

The previous prime is 180790271. The next prime is 180790273. The reversal of 180790272 is 272097081.

It is an interprime number because it is at equal distance from previous prime (180790271) and next prime (180790273).

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 (180790271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359173 + ... + 359675.

Almost surely, 2^180790272 is an apocalyptic number.

180790272 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 180790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288872640).

180790272 is an abundant number, since it is smaller than the sum of its proper divisors (396955008).

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

180790272 is a wasteful number, since it uses less digits than its factorization.

180790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 180790272 is about 13445.8273081280. The cubic root of 180790272 is about 565.4467159161.

The spelling of 180790272 in words is "one hundred eighty million, seven hundred ninety thousand, two hundred seventy-two".