70875168 has 288 divisors, whose sum is σ = 249359040. Its totient is φ = 17418240.

The previous prime is 70875157. The next prime is 70875191. The reversal of 70875168 is 86157807.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161858 + ... + 1161918.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 2^70875168 is an apocalyptic number.

70875168 is a gapful number since it is divisible by the number (78) 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 70875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

70875168 is an abundant number, since it is smaller than the sum of its proper divisors (178483872).

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

70875168 is a wasteful number, since it uses less digits than its factorization.

70875168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 70875168 is about 8418.7390979885. The cubic root of 70875168 is about 413.8389534405.

The spelling of 70875168 in words is "seventy million, eight hundred seventy-five thousand, one hundred sixty-eight".