71970 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 19184.

The previous prime is 71963. The next prime is 71971. The reversal of 71970 is 7917.

It is a self number, because there is not a number n which added to its sum of digits gives 71970.

It is not an unprimeable number, because it can be changed into a prime (71971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁷¹⁹⁷⁰ is an apocalyptic number.

71970 is an abundant number, since it is smaller than the sum of its proper divisors (100830).

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 (86400).

71970 is a wasteful number, since it uses less digits than its factorization.

71970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 71970 is about 268.2722497762. The cubic root of 71970 is about 41.5958976477.

The spelling of 71970 in words is "seventy-one thousand, nine hundred seventy".