168975072 has 240 divisors, whose sum is σ = 580567680. Its totient is φ = 47215872.

The previous prime is 168975047. The next prime is 168975097. The reversal of 168975072 is 270579861.

It is an interprime number because it is at equal distance from previous prime (168975047) and next prime (168975097).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1215579 + ... + 1215717.

It is an arithmetic number, because the mean of its divisors is an integer number (2419032).

Almost surely, 2^168975072 is an apocalyptic number.

168975072 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 168975072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290283840).

168975072 is an abundant number, since it is smaller than the sum of its proper divisors (411592608).

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

168975072 is a wasteful number, since it uses less digits than its factorization.

168975072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 168975072 is about 12999.0411954113. The cubic root of 168975072 is about 552.8502963431.

The spelling of 168975072 in words is "one hundred sixty-eight million, nine hundred seventy-five thousand, seventy-two".