180584878417272 has 384 divisors, whose sum is σ = 577445854003200. Its totient is φ = 49905750150144.

The previous prime is 180584878417247. The next prime is 180584878417297. The reversal of 180584878417272 is 272714878485081.

180584878417272 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 8 + 487 + 8 + 4 + 1 + 72 + 72 = 666.

180584878417272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180584878417247) and next prime (180584878417297).

It is a super-2 number, since 2×180584878417272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 180584878417272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2989934178 + ... + 2989994574.

It is an arithmetic number, because the mean of its divisors is an integer number (1503765244800).

Almost surely, 2^{180584878417272} is an apocalyptic number.

180584878417272 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 180584878417272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288722927001600).

180584878417272 is an abundant number, since it is smaller than the sum of its proper divisors (396860975585928).

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

180584878417272 is a wasteful number, since it uses less digits than its factorization.

180584878417272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61395 (or 61388 counting only the distinct ones).

The product of its (nonzero) digits is 449576960, while the sum is 72.

The spelling of 180584878417272 in words is "one hundred eighty trillion, five hundred eighty-four billion, eight hundred seventy-eight million, four hundred seventeen thousand, two hundred seventy-two".