71609328 has 120 divisors (see below), whose sum is σ = 241155200. Its totient is φ = 19377792.

The previous prime is 71609297. The next prime is 71609333. The reversal of 71609328 is 82390617.

It is a super-2 number, since 2×71609328² = 10255791713223168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71609292 and 71609301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17283 + ... + 21021.

Almost surely, 2^71609328 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 71609328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120577600).

71609328 is an abundant number, since it is smaller than the sum of its proper divisors (169545872).

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

71609328 is a wasteful number, since it uses less digits than its factorization.

71609328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71609328 is about 8462.2294934609. The cubic root of 71609328 is about 415.2629639329.

The spelling of 71609328 in words is "seventy-one million, six hundred nine thousand, three hundred twenty-eight".