71325824 has 32 divisors (see below), whose sum is σ = 142960140. Its totient is φ = 35445760.

The previous prime is 71325811. The next prime is 71325841. The reversal of 71325824 is 42852317.

It can be written as a sum of positive squares in 2 ways, for example, as 61340224 + 9985600 = 7832^2 + 3160^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20534 + ... + 23754.

Almost surely, 2^71325824 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 71325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71480070).

71325824 is an abundant number, since it is smaller than the sum of its proper divisors (71634316).

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

71325824 is a wasteful number, since it uses less digits than its factorization.

71325824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3396 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 71325824 is about 8445.4617398932. The cubic root of 71325824 is about 414.7142252822.

The spelling of 71325824 in words is "seventy-one million, three hundred twenty-five thousand, eight hundred twenty-four".