360071712 has 288 divisors, whose sum is σ = 1375920000. Its totient is φ = 86261760.

The previous prime is 360071707. The next prime is 360071737. The reversal of 360071712 is 217170063.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×360071712² = 259303275565221888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287664 + ... + 288912.

It is an arithmetic number, because the mean of its divisors is an integer number (4777500).

Almost surely, 2^360071712 is an apocalyptic number.

360071712 is a gapful number since it is divisible by the number (32) 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 360071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960000).

360071712 is an abundant number, since it is smaller than the sum of its proper divisors (1015848288).

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

360071712 is a wasteful number, since it uses less digits than its factorization.

360071712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 360071712 is about 18975.5556440385. Note that the first 3 decimals coincide. The cubic root of 360071712 is about 711.4258933050.

The spelling of 360071712 in words is "three hundred sixty million, seventy-one thousand, seven hundred twelve".