71802 has 12 divisors (see below), whose sum is σ = 155610. Its totient is φ = 23928.

The previous prime is 71789. The next prime is 71807. The reversal of 71802 is 20817.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 9801 = 249^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3989 = 71802 / (7 + 1 + 8 + 0 + 2).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (71807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1977 + ... + 2012.

2⁷¹⁸⁰² is an apocalyptic number.

71802 is an abundant number, since it is smaller than the sum of its proper divisors (83808).

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

71802 is a wasteful number, since it uses less digits than its factorization.

71802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71802 is about 267.9589520804. The cubic root of 71802 is about 41.5635065805.

The spelling of 71802 in words is "seventy-one thousand, eight hundred two".