73984 has 27 divisors (see below), whose sum is σ = 156877. Its totient is φ = 34816.

The previous prime is 73973. The next prime is 73999. The reversal of 73984 is 48937.

73984 = T_{271} + T_{272}.

It is a happy number.

The square root of 73984 is 272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 16384 = 240^2 + 128^2 .

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4344 + ... + 4360.

73984 is a Friedman number, since it can be written as (34*8)^(9-7), using all its digits and the basic arithmetic operations.

2^{73984} is an apocalyptic number.

73984 is the 272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73984

73984 is an abundant number, since it is smaller than the sum of its proper divisors (82893).

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

73984 is an equidigital number, since it uses as much as digits as its factorization.

73984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 19 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The cubic root of 73984 is about 41.9803384919.

It can be divided in two parts, 7398 and 4, that multiplied together give a palindrome (29592).

The spelling of 73984 in words is "seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 9248 18496 36992 73984

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