75670 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 24288.

The previous prime is 75659. The next prime is 75679. The reversal of 75670 is 7657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1587 + ... + 1633.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁷⁵⁶⁷⁰ is an apocalyptic number.

75670 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75670 is an abundant number, since it is smaller than the sum of its proper divisors (90218).

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 (82944).

75670 is a wasteful number, since it uses less digits than its factorization.

75670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 75670 is about 275.0818060141. The cubic root of 75670 is about 42.2968389197.

The spelling of 75670 in words is "seventy-five thousand, six hundred seventy".