73882 has 16 divisors (see below), whose sum is σ = 122472. Its totient is φ = 33280.

The previous prime is 73877. The next prime is 73883. The reversal of 73882 is 28837.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62001 + 11881 = 249^2 + 109^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73882.

It is not an unprimeable number, because it can be changed into a prime (73883) 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, 1368 + ... + 1420.

2⁷³⁸⁸² is an apocalyptic number.

73882 is a deficient number, since it is larger than the sum of its proper divisors (48590).

73882 is a wasteful number, since it uses less digits than its factorization.

73882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 2688, while the sum is 28.

The square root of 73882 is about 271.8124353300. The cubic root of 73882 is about 41.9610371841.

It can be divided in two parts, 738 and 82, that multiplied together give a square (60516 = 246²).

The spelling of 73882 in words is "seventy-three thousand, eight hundred eighty-two".