82733472 has 36 divisors (see below), whose sum is σ = 235274130. Its totient is φ = 27577728.

The previous prime is 82733447. The next prime is 82733473. The reversal of 82733472 is 27433728.

It can be written as a sum of positive squares in only one way, i.e., 77369616 + 5363856 = 8796^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82733473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143347 + ... + 143922.

Almost surely, 2^82733472 is an apocalyptic number.

It is an amenable number.

82733472 is an abundant number, since it is smaller than the sum of its proper divisors (152540658).

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

82733472 is a wasteful number, since it uses less digits than its factorization.

82733472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287285 (or 287274 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 82733472 is about 9095.7941929224. The cubic root of 82733472 is about 435.7396532293.

The spelling of 82733472 in words is "eighty-two million, seven hundred thirty-three thousand, four hundred seventy-two".