71284032 has 42 divisors (see below), whose sum is σ = 204324458. Its totient is φ = 23761152.

The previous prime is 71284019. The next prime is 71284033. The reversal of 71284032 is 23048217.

It can be written as a sum of positive squares in only one way, i.e., 66194496 + 5089536 = 8136^2 + 2256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71283987 and 71284005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71284033) 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, 61303 + ... + 62454.

Almost surely, 2^71284032 is an apocalyptic number.

71284032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71284032 is an abundant number, since it is smaller than the sum of its proper divisors (133040426).

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

71284032 is a wasteful number, since it uses less digits than its factorization.

71284032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123775 (or 123762 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71284032 is about 8442.9871491078. The cubic root of 71284032 is about 414.6332115058.

The spelling of 71284032 in words is "seventy-one million, two hundred eighty-four thousand, thirty-two".