71824914 has 64 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 20358864.

The previous prime is 71824913. The next prime is 71824937. The reversal of 71824914 is 41942817.

It is a super-2 number, since 2×71824914² = 10317636542214792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71824913) 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 31 ways as a sum of consecutive naturals, for example, 51859 + ... + 53225.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^71824914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71824914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

71824914 is an abundant number, since it is smaller than the sum of its proper divisors (112034286).

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

71824914 is a wasteful number, since it uses less digits than its factorization.

71824914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

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

The square root of 71824914 is about 8474.9580529935. The cubic root of 71824914 is about 415.6792746428.

The spelling of 71824914 in words is "seventy-one million, eight hundred twenty-four thousand, nine hundred fourteen".