71814432 has 48 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 23715072.

The previous prime is 71814427. The next prime is 71814437. The reversal of 71814432 is 23441817.

It is an interprime number because it is at equal distance from previous prime (71814427) and next prime (71814437).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 71814432.

It is not an unprimeable number, because it can be changed into a prime (71814437) 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 7 ways as a sum of consecutive naturals, for example, 7033 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2^71814432 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 71814432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

71814432 is an abundant number, since it is smaller than the sum of its proper divisors (118455648).

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

71814432 is a wasteful number, since it uses less digits than its factorization.

71814432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985 (or 6977 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 71814432 is about 8474.3396202890. The cubic root of 71814432 is about 415.6590524948.

The spelling of 71814432 in words is "seventy-one million, eight hundred fourteen thousand, four hundred thirty-two".