71738832 has 80 divisors (see below), whose sum is σ = 212843520. Its totient is φ = 20592000.

The previous prime is 71738801. The next prime is 71738833. The reversal of 71738832 is 23883717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71738833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6457 + ... + 13607.

It is an arithmetic number, because the mean of its divisors is an integer number (2660544).

Almost surely, 2^71738832 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 71738832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106421760).

71738832 is an abundant number, since it is smaller than the sum of its proper divisors (141104688).

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

71738832 is a wasteful number, since it uses less digits than its factorization.

71738832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 7186 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 71738832 is about 8469.8779211982. The cubic root of 71738832 is about 415.5131446937.

The spelling of 71738832 in words is "seventy-one million, seven hundred thirty-eight thousand, eight hundred thirty-two".