71682432 has 128 divisors (see below), whose sum is σ = 203061600. Its totient is φ = 22364160.

The previous prime is 71682409. The next prime is 71682449. The reversal of 71682432 is 23428617.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 71682393 and 71682402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456498 + ... + 456654.

Almost surely, 2^71682432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101530800).

71682432 is an abundant number, since it is smaller than the sum of its proper divisors (131379168).

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

71682432 is a wasteful number, since it uses less digits than its factorization.

71682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 71682432 is about 8466.5478206882. The cubic root of 71682432 is about 415.4042260658.

The spelling of 71682432 in words is "seventy-one million, six hundred eighty-two thousand, four hundred thirty-two".