71605152 has 72 divisors (see below), whose sum is σ = 205585380. Its totient is φ = 23639040.

The previous prime is 71605151. The next prime is 71605153. The reversal of 71605152 is 25150617.

71605152 is a `hidden beast` number, since 7 + 1 + 605 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (71605151) and next prime (71605153).

It can be written as a sum of positive squares in 2 ways, for example, as 69956496 + 1648656 = 8364^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (71605151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30252 + ... + 32532.

Almost surely, 2^71605152 is an apocalyptic number.

71605152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102792690).

71605152 is an abundant number, since it is smaller than the sum of its proper divisors (133980228).

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

71605152 is a wasteful number, since it uses less digits than its factorization.

71605152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 71605152 is about 8461.9827463781. The cubic root of 71605152 is about 415.2548915588.

Adding to 71605152 its reverse (25150617), we get a palindrome (96755769).

The spelling of 71605152 in words is "seventy-one million, six hundred five thousand, one hundred fifty-two".