71605872 has 120 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 21256704.

The previous prime is 71605871. The next prime is 71605873. The reversal of 71605872 is 27850617.

71605872 is a `hidden beast` number, since 71 + 6 + 0 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (71605871) and next prime (71605873).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71605871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53629 + ... + 54947.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^71605872 is an apocalyptic number.

71605872 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 71605872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

71605872 is an abundant number, since it is smaller than the sum of its proper divisors (151817328).

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

71605872 is a wasteful number, since it uses less digits than its factorization.

71605872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 71605872 is about 8462.0252894919. The cubic root of 71605872 is about 415.2562833698.

The spelling of 71605872 in words is "seventy-one million, six hundred five thousand, eight hundred seventy-two".