71816832 has 96 divisors (see below), whose sum is σ = 213432960. Its totient is φ = 23155200.

The previous prime is 71816821. The next prime is 71816839. The reversal of 71816832 is 23861817.

It is a tau number, because it is divible by the number of its divisors (96).

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 (71816839) 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 11 ways as a sum of consecutive naturals, for example, 34707 + ... + 36717.

It is an arithmetic number, because the mean of its divisors is an integer number (2223260).

Almost surely, 2^71816832 is an apocalyptic number.

71816832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106716480).

71816832 is an abundant number, since it is smaller than the sum of its proper divisors (141616128).

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

71816832 is a wasteful number, since it uses less digits than its factorization.

71816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2047 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71816832 is about 8474.4812230602. The cubic root of 71816832 is about 415.6636828111.

The spelling of 71816832 in words is "seventy-one million, eight hundred sixteen thousand, eight hundred thirty-two".