180272064 has 112 divisors (see below), whose sum is σ = 550395648. Its totient is φ = 51007488.

The previous prime is 180272051. The next prime is 180272077. The reversal of 180272064 is 460272081.

It is an interprime number because it is at equal distance from previous prime (180272051) and next prime (180272077).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×180272064³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151279 + ... + 152465.

Almost surely, 2^180272064 is an apocalyptic number.

180272064 is a gapful number since it is divisible by the number (14) 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 180272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275197824).

180272064 is an abundant number, since it is smaller than the sum of its proper divisors (370123584).

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

180272064 is a wasteful number, since it uses less digits than its factorization.

180272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 180272064 is about 13426.5432632528. The cubic root of 180272064 is about 564.9059430450.

The spelling of 180272064 in words is "one hundred eighty million, two hundred seventy-two thousand, sixty-four".