71774320 has 40 divisors (see below), whose sum is σ = 168426720. Its totient is φ = 28442880.

The previous prime is 71774303. The next prime is 71774321. The reversal of 71774320 is 2347717.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×71774320² = 10303106022924800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71774321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4605 + ... + 12835.

It is an arithmetic number, because the mean of its divisors is an integer number (4210668).

Almost surely, 2^71774320 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 71774320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84213360).

71774320 is an abundant number, since it is smaller than the sum of its proper divisors (96652400).

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

71774320 is a wasteful number, since it uses less digits than its factorization.

71774320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8353 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 71774320 is about 8471.9726156309. The cubic root of 71774320 is about 415.5816491993.

The spelling of 71774320 in words is "seventy-one million, seven hundred seventy-four thousand, three hundred twenty".