70875 has 40 divisors (see below), whose sum is σ = 151008. Its totient is φ = 32400.

The previous prime is 70867. The next prime is 70877. The reversal of 70875 is 57807.

It is not a de Polignac number, because 70875 - 2^{3} = 70867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

70875 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (70877) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10122 + ... + 10128.

2^{70875} is an apocalyptic number.

70875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70875 is an abundant number, since it is smaller than the sum of its proper divisors (80133).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75504).

70875 is an equidigital number, since it uses as much as digits as its factorization.

70875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 70875 is about 266.2235902395. The cubic root of 70875 is about 41.3838626457.

The spelling of 70875 in words is "seventy thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 315 375 405 525 567 675 875 945 1125 1575 2025 2625 2835 3375 4725 7875 10125 14175 23625 70875

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