71785728 has 108 divisors (see below), whose sum is σ = 236597088. Its totient is φ = 20505600.

The previous prime is 71785697. The next prime is 71785729. The reversal of 71785728 is 82758717.

71785728 is a `hidden beast` number, since 7 + 1 + 78 + 572 + 8 = 666.

Its product of digits (219520) is a multiple of the sum of its prime factors (4480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71785729) 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, 13903 + ... + 18353.

Almost surely, 2^71785728 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 71785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118298544).

71785728 is an abundant number, since it is smaller than the sum of its proper divisors (164811360).

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

71785728 is a wasteful number, since it uses less digits than its factorization.

71785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4463 counting only the distinct ones).

The product of its digits is 219520, while the sum is 45.

The square root of 71785728 is about 8472.6458677322. The cubic root of 71785728 is about 415.6036659146.

The spelling of 71785728 in words is "seventy-one million, seven hundred eighty-five thousand, seven hundred twenty-eight".