71790 has 16 divisors (see below), whose sum is σ = 172368. Its totient is φ = 19136.

The previous prime is 71789. The next prime is 71807. The reversal of 71790 is 9717.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 71790.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2⁷¹⁷⁹⁰ is an apocalyptic number.

71790 is an abundant number, since it is smaller than the sum of its proper divisors (100578).

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 (86184).

71790 is a wasteful number, since it uses less digits than its factorization.

71790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403.

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

The square root of 71790 is about 267.9365596555. The cubic root of 71790 is about 41.5611910003.

It can be divided in two parts, 71 and 790, that added together give a triangular number (861 = T₄₁).

The spelling of 71790 in words is "seventy-one thousand, seven hundred ninety".